What is the Greatest Common Factor of 68640 and 68644?
Greatest common factor (GCF) of 68640 and 68644 is 4.
GCF(68640,68644) = 4
We will now calculate the prime factors of 68640 and 68644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68640 and 68644.
How to find the GCF of 68640 and 68644?
We will first find the prime factorization of 68640 and 68644. After we will calculate the factors of 68640 and 68644 and find the biggest common factor number .
Step-1: Prime Factorization of 68640
Prime factors of 68640 are 2, 3, 5, 11, 13. Prime factorization of 68640 in exponential form is:
68640 = 25 × 31 × 51 × 111 × 131
Step-2: Prime Factorization of 68644
Prime factors of 68644 are 2, 131. Prime factorization of 68644 in exponential form is:
68644 = 22 × 1312
Step-3: Factors of 68640
List of positive integer factors of 68640 that divides 68640 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 13, 15, 16, 20, 22, 24, 26, 30, 32, 33, 39, 40, 44, 48, 52, 55, 60, 65, 66, 78, 80, 88, 96, 104, 110, 120, 130, 132, 143, 156, 160, 165, 176, 195, 208, 220, 240, 260, 264, 286, 312, 330, 352, 390, 416, 429, 440, 480, 520, 528, 572, 624, 660, 715, 780, 858, 880, 1040, 1056, 1144, 1248, 1320, 1430, 1560, 1716, 1760, 2080, 2145, 2288, 2640, 2860, 3120, 3432, 4290, 4576, 5280, 5720, 6240, 6864, 8580, 11440, 13728, 17160, 22880, 34320
Step-4: Factors of 68644
List of positive integer factors of 68644 that divides 68640 without a remainder.
1, 2, 4, 131, 262, 524, 17161, 34322
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 68640 and 68644. The biggest common factor number is the GCF number.
So the greatest common factor 68640 and 68644 is 4.
Also check out the Least Common Multiple of 68640 and 68644
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- GCF of 68644 and 68648
- GCF of 68644 and 68649
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- GCF of 68644 and 68653
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