What is the Greatest Common Factor of 63664 and 63684?

Greatest common factor (GCF) of 63664 and 63684 is 4.

GCF(63664,63684) = 4

We will now calculate the prime factors of 63664 and 63684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63664 and 63684.

How to find the GCF of 63664 and 63684?

We will first find the prime factorization of 63664 and 63684. After we will calculate the factors of 63664 and 63684 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 63684

Prime factors of 63684 are 2, 3, 29, 61. Prime factorization of 63684 in exponential form is:

63684 = 2² × 3² × 29¹ × 61¹

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 63684

List of positive integer factors of 63684 that divides 63664 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 61, 87, 116, 122, 174, 183, 244, 261, 348, 366, 522, 549, 732, 1044, 1098, 1769, 2196, 3538, 5307, 7076, 10614, 15921, 21228, 31842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63664 and 63684. The biggest common factor number is the GCF number.
So the greatest common factor 63664 and 63684 is 4.

Also check out the Least Common Multiple of 63664 and 63684