What is the Greatest Common Factor of 63999 and 64014?

Greatest common factor (GCF) of 63999 and 64014 is 3.

GCF(63999,64014) = 3

We will now calculate the prime factors of 63999 and 64014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63999 and 64014.

How to find the GCF of 63999 and 64014?

We will first find the prime factorization of 63999 and 64014. After we will calculate the factors of 63999 and 64014 and find the biggest common factor number .

Step-1: Prime Factorization of 63999

Prime factors of 63999 are 3, 13, 547. Prime factorization of 63999 in exponential form is:

63999 = 3² × 13¹ × 547¹

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 63999

List of positive integer factors of 63999 that divides 63999 without a remainder.

1, 3, 9, 13, 39, 117, 547, 1641, 4923, 7111, 21333

Step-4: Factors of 64014

List of positive integer factors of 64014 that divides 63999 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 63999 and 64014. The biggest common factor number is the GCF number.
So the greatest common factor 63999 and 64014 is 3.

Also check out the Least Common Multiple of 63999 and 64014