What is the Greatest Common Factor of 63948 and 63957?

Greatest common factor (GCF) of 63948 and 63957 is 3.

GCF(63948,63957) = 3

We will now calculate the prime factors of 63948 and 63957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63948 and 63957.

How to find the GCF of 63948 and 63957?

We will first find the prime factorization of 63948 and 63957. After we will calculate the factors of 63948 and 63957 and find the biggest common factor number .

Step-1: Prime Factorization of 63948

Prime factors of 63948 are 2, 3, 73. Prime factorization of 63948 in exponential form is:

63948 = 2² × 3¹ × 73²

Step-2: Prime Factorization of 63957

Prime factors of 63957 are 3, 21319. Prime factorization of 63957 in exponential form is:

63957 = 3¹ × 21319¹

Step-3: Factors of 63948

List of positive integer factors of 63948 that divides 63948 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876, 5329, 10658, 15987, 21316, 31974

Step-4: Factors of 63957

List of positive integer factors of 63957 that divides 63948 without a remainder.

1, 3, 21319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63948 and 63957. The biggest common factor number is the GCF number.
So the greatest common factor 63948 and 63957 is 3.

Also check out the Least Common Multiple of 63948 and 63957