What is the Greatest Common Factor of 624 and 636?
Greatest common factor (GCF) of 624 and 636 is 12.
GCF(624,636) = 12
We will now calculate the prime factors of 624 and 636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 624 and 636.
How to find the GCF of 624 and 636?
We will first find the prime factorization of 624 and 636. After we will calculate the factors of 624 and 636 and find the biggest common factor number .
Step-1: Prime Factorization of 624
Prime factors of 624 are 2, 3, 13. Prime factorization of 624 in exponential form is:
624 = 24 × 31 × 131
Step-2: Prime Factorization of 636
Prime factors of 636 are 2, 3, 53. Prime factorization of 636 in exponential form is:
636 = 22 × 31 × 531
Step-3: Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312
Step-4: Factors of 636
List of positive integer factors of 636 that divides 624 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 624 and 636. The biggest common factor number is the GCF number.
So the greatest common factor 624 and 636 is 12.
Also check out the Least Common Multiple of 624 and 636
Related Greatest Common Factors of 624
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Related Greatest Common Factors of 636
- GCF of 636 and 640
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- GCF of 636 and 642
- GCF of 636 and 643
- GCF of 636 and 644
- GCF of 636 and 645
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- GCF of 636 and 652
- GCF of 636 and 653
- GCF of 636 and 654
- GCF of 636 and 655
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