What is the Greatest Common Factor of 63712 and 63732?

Greatest common factor (GCF) of 63712 and 63732 is 4.

GCF(63712,63732) = 4

We will now calculate the prime factors of 63712 and 63732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63712 and 63732.

How to find the GCF of 63712 and 63732?

We will first find the prime factorization of 63712 and 63732. After we will calculate the factors of 63712 and 63732 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 63732

Prime factors of 63732 are 2, 3, 47, 113. Prime factorization of 63732 in exponential form is:

63732 = 2² × 3¹ × 47¹ × 113¹

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 63732

List of positive integer factors of 63732 that divides 63712 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 113, 141, 188, 226, 282, 339, 452, 564, 678, 1356, 5311, 10622, 15933, 21244, 31866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63712 and 63732. The biggest common factor number is the GCF number.
So the greatest common factor 63712 and 63732 is 4.

Also check out the Least Common Multiple of 63712 and 63732