What is the Greatest Common Factor of 636 and 656?
Greatest common factor (GCF) of 636 and 656 is 4.
GCF(636,656) = 4
We will now calculate the prime factors of 636 and 656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 636 and 656.
How to find the GCF of 636 and 656?
We will first find the prime factorization of 636 and 656. After we will calculate the factors of 636 and 656 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 656
Prime factors of 656 are 2, 41. Prime factorization of 656 in exponential form is:
656 = 24 × 411
Step-3: Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318
Step-4: Factors of 656
List of positive integer factors of 656 that divides 636 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 636 and 656. The biggest common factor number is the GCF number.
So the greatest common factor 636 and 656 is 4.
Also check out the Least Common Multiple of 636 and 656
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