What is the Greatest Common Factor of 63188 and 63196?

Greatest common factor (GCF) of 63188 and 63196 is 4.

GCF(63188,63196) = 4

We will now calculate the prime factors of 63188 and 63196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63188 and 63196.

How to find the GCF of 63188 and 63196?

We will first find the prime factorization of 63188 and 63196. After we will calculate the factors of 63188 and 63196 and find the biggest common factor number .

Step-1: Prime Factorization of 63188

Prime factors of 63188 are 2, 15797. Prime factorization of 63188 in exponential form is:

63188 = 2² × 15797¹

Step-2: Prime Factorization of 63196

Prime factors of 63196 are 2, 7, 37, 61. Prime factorization of 63196 in exponential form is:

63196 = 2² × 7¹ × 37¹ × 61¹

Step-3: Factors of 63188

List of positive integer factors of 63188 that divides 63188 without a remainder.

1, 2, 4, 15797, 31594

Step-4: Factors of 63196

List of positive integer factors of 63196 that divides 63188 without a remainder.

1, 2, 4, 7, 14, 28, 37, 61, 74, 122, 148, 244, 259, 427, 518, 854, 1036, 1708, 2257, 4514, 9028, 15799, 31598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63188 and 63196. The biggest common factor number is the GCF number.
So the greatest common factor 63188 and 63196 is 4.

Also check out the Least Common Multiple of 63188 and 63196