What is the Greatest Common Factor of 8520 and 8526?
Greatest common factor (GCF) of 8520 and 8526 is 6.
GCF(8520,8526) = 6
We will now calculate the prime factors of 8520 and 8526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8520 and 8526.
How to find the GCF of 8520 and 8526?
We will first find the prime factorization of 8520 and 8526. After we will calculate the factors of 8520 and 8526 and find the biggest common factor number .
Step-1: Prime Factorization of 8520
Prime factors of 8520 are 2, 3, 5, 71. Prime factorization of 8520 in exponential form is:
8520 = 23 × 31 × 51 × 711
Step-2: Prime Factorization of 8526
Prime factors of 8526 are 2, 3, 7, 29. Prime factorization of 8526 in exponential form is:
8526 = 21 × 31 × 72 × 291
Step-3: Factors of 8520
List of positive integer factors of 8520 that divides 8520 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260
Step-4: Factors of 8526
List of positive integer factors of 8526 that divides 8520 without a remainder.
1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8520 and 8526. The biggest common factor number is the GCF number.
So the greatest common factor 8520 and 8526 is 6.
Also check out the Least Common Multiple of 8520 and 8526
Related Greatest Common Factors of 8520
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Related Greatest Common Factors of 8526
- GCF of 8526 and 8530
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- GCF of 8526 and 8532
- GCF of 8526 and 8533
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- GCF of 8526 and 8536
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- GCF of 8526 and 8538
- GCF of 8526 and 8539
- GCF of 8526 and 8540
- GCF of 8526 and 8541
- GCF of 8526 and 8542
- GCF of 8526 and 8543
- GCF of 8526 and 8544
- GCF of 8526 and 8545
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