What is the Greatest Common Factor of 63984 and 63996?

Greatest common factor (GCF) of 63984 and 63996 is 12.

GCF(63984,63996) = 12

We will now calculate the prime factors of 63984 and 63996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63984 and 63996.

How to find the GCF of 63984 and 63996?

We will first find the prime factorization of 63984 and 63996. After we will calculate the factors of 63984 and 63996 and find the biggest common factor number .

Step-1: Prime Factorization of 63984

Prime factors of 63984 are 2, 3, 31, 43. Prime factorization of 63984 in exponential form is:

63984 = 2⁴ × 3¹ × 31¹ × 43¹

Step-2: Prime Factorization of 63996

Prime factors of 63996 are 2, 3, 5333. Prime factorization of 63996 in exponential form is:

63996 = 2² × 3¹ × 5333¹

Step-3: Factors of 63984

List of positive integer factors of 63984 that divides 63984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 43, 48, 62, 86, 93, 124, 129, 172, 186, 248, 258, 344, 372, 496, 516, 688, 744, 1032, 1333, 1488, 2064, 2666, 3999, 5332, 7998, 10664, 15996, 21328, 31992

Step-4: Factors of 63996

List of positive integer factors of 63996 that divides 63984 without a remainder.

1, 2, 3, 4, 6, 12, 5333, 10666, 15999, 21332, 31998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63984 and 63996. The biggest common factor number is the GCF number.
So the greatest common factor 63984 and 63996 is 12.

Also check out the Least Common Multiple of 63984 and 63996