What is the Greatest Common Factor of 63915 and 63924?

Greatest common factor (GCF) of 63915 and 63924 is 3.

GCF(63915,63924) = 3

We will now calculate the prime factors of 63915 and 63924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63915 and 63924.

How to find the GCF of 63915 and 63924?

We will first find the prime factorization of 63915 and 63924. After we will calculate the factors of 63915 and 63924 and find the biggest common factor number .

Step-1: Prime Factorization of 63915

Prime factors of 63915 are 3, 5, 4261. Prime factorization of 63915 in exponential form is:

63915 = 3¹ × 5¹ × 4261¹

Step-2: Prime Factorization of 63924

Prime factors of 63924 are 2, 3, 7, 761. Prime factorization of 63924 in exponential form is:

63924 = 2² × 3¹ × 7¹ × 761¹

Step-3: Factors of 63915

List of positive integer factors of 63915 that divides 63915 without a remainder.

1, 3, 5, 15, 4261, 12783, 21305

Step-4: Factors of 63924

List of positive integer factors of 63924 that divides 63915 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 761, 1522, 2283, 3044, 4566, 5327, 9132, 10654, 15981, 21308, 31962

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63915 and 63924. The biggest common factor number is the GCF number.
So the greatest common factor 63915 and 63924 is 3.

Also check out the Least Common Multiple of 63915 and 63924