What is the Greatest Common Factor of 63672 and 63684?

Greatest common factor (GCF) of 63672 and 63684 is 12.

GCF(63672,63684) = 12

We will now calculate the prime factors of 63672 and 63684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63672 and 63684.

How to find the GCF of 63672 and 63684?

We will first find the prime factorization of 63672 and 63684. After we will calculate the factors of 63672 and 63684 and find the biggest common factor number .

Step-1: Prime Factorization of 63672

Prime factors of 63672 are 2, 3, 7, 379. Prime factorization of 63672 in exponential form is:

63672 = 2³ × 3¹ × 7¹ × 379¹

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 63672

List of positive integer factors of 63672 that divides 63672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 379, 758, 1137, 1516, 2274, 2653, 3032, 4548, 5306, 7959, 9096, 10612, 15918, 21224, 31836

Step-4: Factors of 63684

List of positive integer factors of 63684 that divides 63672 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 63672 and 63684. The biggest common factor number is the GCF number.
So the greatest common factor 63672 and 63684 is 12.

Also check out the Least Common Multiple of 63672 and 63684