What is the Greatest Common Factor of 63664 and 63671?

Greatest common factor (GCF) of 63664 and 63671 is 1.

GCF(63664,63671) = 1

We will now calculate the prime factors of 63664 and 63671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63664 and 63671.

How to find the GCF of 63664 and 63671?

We will first find the prime factorization of 63664 and 63671. After we will calculate the factors of 63664 and 63671 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 63671

Prime factors of 63671 are 63671. Prime factorization of 63671 in exponential form is:

63671 = 63671¹

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 63671

List of positive integer factors of 63671 that divides 63664 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63664 and 63671. The biggest common factor number is the GCF number.
So the greatest common factor 63664 and 63671 is 1.

Also check out the Least Common Multiple of 63664 and 63671