What is the Greatest Common Factor of 63684 and 63696?

Greatest common factor (GCF) of 63684 and 63696 is 12.

GCF(63684,63696) = 12

We will now calculate the prime factors of 63684 and 63696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63684 and 63696.

How to find the GCF of 63684 and 63696?

We will first find the prime factorization of 63684 and 63696. After we will calculate the factors of 63684 and 63696 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63696

Prime factors of 63696 are 2, 3, 1327. Prime factorization of 63696 in exponential form is:

63696 = 2⁴ × 3¹ × 1327¹

Step-3: Factors of 63684

List of positive integer factors of 63684 that divides 63684 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

Step-4: Factors of 63696

List of positive integer factors of 63696 that divides 63684 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1327, 2654, 3981, 5308, 7962, 10616, 15924, 21232, 31848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63684 and 63696. The biggest common factor number is the GCF number.
So the greatest common factor 63684 and 63696 is 12.

Also check out the Least Common Multiple of 63684 and 63696