What is the Greatest Common Factor of 63712 and 63726?

Greatest common factor (GCF) of 63712 and 63726 is 2.

GCF(63712,63726) = 2

We will now calculate the prime factors of 63712 and 63726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63712 and 63726.

How to find the GCF of 63712 and 63726?

We will first find the prime factorization of 63712 and 63726. After we will calculate the factors of 63712 and 63726 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 63726

Prime factors of 63726 are 2, 3, 13, 19, 43. Prime factorization of 63726 in exponential form is:

63726 = 2¹ × 3¹ × 13¹ × 19¹ × 43¹

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 63726

List of positive integer factors of 63726 that divides 63712 without a remainder.

1, 2, 3, 6, 13, 19, 26, 38, 39, 43, 57, 78, 86, 114, 129, 247, 258, 494, 559, 741, 817, 1118, 1482, 1634, 1677, 2451, 3354, 4902, 10621, 21242, 31863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63712 and 63726. The biggest common factor number is the GCF number.
So the greatest common factor 63712 and 63726 is 2.

Also check out the Least Common Multiple of 63712 and 63726