What is the Greatest Common Factor of 65508 and 65520?
Greatest common factor (GCF) of 65508 and 65520 is 12.
GCF(65508,65520) = 12
We will now calculate the prime factors of 65508 and 65520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65508 and 65520.
How to find the GCF of 65508 and 65520?
We will first find the prime factorization of 65508 and 65520. After we will calculate the factors of 65508 and 65520 and find the biggest common factor number .
Step-1: Prime Factorization of 65508
Prime factors of 65508 are 2, 3, 53, 103. Prime factorization of 65508 in exponential form is:
65508 = 22 × 31 × 531 × 1031
Step-2: Prime Factorization of 65520
Prime factors of 65520 are 2, 3, 5, 7, 13. Prime factorization of 65520 in exponential form is:
65520 = 24 × 32 × 51 × 71 × 131
Step-3: Factors of 65508
List of positive integer factors of 65508 that divides 65508 without a remainder.
1, 2, 3, 4, 6, 12, 53, 103, 106, 159, 206, 212, 309, 318, 412, 618, 636, 1236, 5459, 10918, 16377, 21836, 32754
Step-4: Factors of 65520
List of positive integer factors of 65520 that divides 65508 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 20, 21, 24, 26, 28, 30, 35, 36, 39, 40, 42, 45, 48, 52, 56, 60, 63, 65, 70, 72, 78, 80, 84, 90, 91, 104, 105, 112, 117, 120, 126, 130, 140, 144, 156, 168, 180, 182, 195, 208, 210, 234, 240, 252, 260, 273, 280, 312, 315, 336, 360, 364, 390, 420, 455, 468, 504, 520, 546, 560, 585, 624, 630, 720, 728, 780, 819, 840, 910, 936, 1008, 1040, 1092, 1170, 1260, 1365, 1456, 1560, 1638, 1680, 1820, 1872, 2184, 2340, 2520, 2730, 3120, 3276, 3640, 4095, 4368, 4680, 5040, 5460, 6552, 7280, 8190, 9360, 10920, 13104, 16380, 21840, 32760
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 65508 and 65520. The biggest common factor number is the GCF number.
So the greatest common factor 65508 and 65520 is 12.
Also check out the Least Common Multiple of 65508 and 65520
Related Greatest Common Factors of 65508
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- GCF of 65508 and 65520
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- GCF of 65508 and 65524
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Related Greatest Common Factors of 65520
- GCF of 65520 and 65524
- GCF of 65520 and 65525
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- GCF of 65520 and 65527
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- GCF of 65520 and 65530
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- GCF of 65520 and 65532
- GCF of 65520 and 65533
- GCF of 65520 and 65534
- GCF of 65520 and 65535
- GCF of 65520 and 65536
- GCF of 65520 and 65537
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