What is the Greatest Common Factor of 63664 and 63676?

Greatest common factor (GCF) of 63664 and 63676 is 4.

GCF(63664,63676) = 4

We will now calculate the prime factors of 63664 and 63676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63664 and 63676.

How to find the GCF of 63664 and 63676?

We will first find the prime factorization of 63664 and 63676. After we will calculate the factors of 63664 and 63676 and find the biggest common factor number .

Step-1: Prime Factorization of 63664

Prime factors of 63664 are 2, 23, 173. Prime factorization of 63664 in exponential form is:

63664 = 2⁴ × 23¹ × 173¹

Step-2: Prime Factorization of 63676

Prime factors of 63676 are 2, 15919. Prime factorization of 63676 in exponential form is:

63676 = 2² × 15919¹

Step-3: Factors of 63664

List of positive integer factors of 63664 that divides 63664 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 173, 184, 346, 368, 692, 1384, 2768, 3979, 7958, 15916, 31832

Step-4: Factors of 63676

List of positive integer factors of 63676 that divides 63664 without a remainder.

1, 2, 4, 15919, 31838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63664 and 63676. The biggest common factor number is the GCF number.
So the greatest common factor 63664 and 63676 is 4.

Also check out the Least Common Multiple of 63664 and 63676