What is the Greatest Common Factor of 63712 and 63724?

Greatest common factor (GCF) of 63712 and 63724 is 4.

GCF(63712,63724) = 4

We will now calculate the prime factors of 63712 and 63724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63712 and 63724.

How to find the GCF of 63712 and 63724?

We will first find the prime factorization of 63712 and 63724. After we will calculate the factors of 63712 and 63724 and find the biggest common factor number .

Step-1: Prime Factorization of 63712

Prime factors of 63712 are 2, 11, 181. Prime factorization of 63712 in exponential form is:

63712 = 2⁵ × 11¹ × 181¹

Step-2: Prime Factorization of 63724

Prime factors of 63724 are 2, 89, 179. Prime factorization of 63724 in exponential form is:

63724 = 2² × 89¹ × 179¹

Step-3: Factors of 63712

List of positive integer factors of 63712 that divides 63712 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 181, 352, 362, 724, 1448, 1991, 2896, 3982, 5792, 7964, 15928, 31856

Step-4: Factors of 63724

List of positive integer factors of 63724 that divides 63712 without a remainder.

1, 2, 4, 89, 178, 179, 356, 358, 716, 15931, 31862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63712 and 63724. The biggest common factor number is the GCF number.
So the greatest common factor 63712 and 63724 is 4.

Also check out the Least Common Multiple of 63712 and 63724