What is the Greatest Common Factor of 63698 and 63712?

Greatest common factor (GCF) of 63698 and 63712 is 2.

GCF(63698,63712) = 2

We will now calculate the prime factors of 63698 and 63712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63698 and 63712.

How to find the GCF of 63698 and 63712?

We will first find the prime factorization of 63698 and 63712. After we will calculate the factors of 63698 and 63712 and find the biggest common factor number .

Step-1: Prime Factorization of 63698

Prime factors of 63698 are 2, 31849. Prime factorization of 63698 in exponential form is:

63698 = 2¹ × 31849¹

Step-2: 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-3: Factors of 63698

List of positive integer factors of 63698 that divides 63698 without a remainder.

1, 2, 31849

Step-4: Factors of 63712

List of positive integer factors of 63712 that divides 63698 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63698 and 63712. The biggest common factor number is the GCF number.
So the greatest common factor 63698 and 63712 is 2.

Also check out the Least Common Multiple of 63698 and 63712