What is the Greatest Common Factor of 63996 and 64014?

Greatest common factor (GCF) of 63996 and 64014 is 6.

GCF(63996,64014) = 6

We will now calculate the prime factors of 63996 and 64014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63996 and 64014.

How to find the GCF of 63996 and 64014?

We will first find the prime factorization of 63996 and 64014. After we will calculate the factors of 63996 and 64014 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64014

Prime factors of 64014 are 2, 3, 47, 227. Prime factorization of 64014 in exponential form is:

64014 = 2¹ × 3¹ × 47¹ × 227¹

Step-3: Factors of 63996

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

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

Step-4: Factors of 64014

List of positive integer factors of 64014 that divides 63996 without a remainder.

1, 2, 3, 6, 47, 94, 141, 227, 282, 454, 681, 1362, 10669, 21338, 32007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63996 and 64014. The biggest common factor number is the GCF number.
So the greatest common factor 63996 and 64014 is 6.

Also check out the Least Common Multiple of 63996 and 64014