What is the Greatest Common Factor of 63912 and 63924?

Greatest common factor (GCF) of 63912 and 63924 is 12.

GCF(63912,63924) = 12

We will now calculate the prime factors of 63912 and 63924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63912 and 63924.

How to find the GCF of 63912 and 63924?

We will first find the prime factorization of 63912 and 63924. After we will calculate the factors of 63912 and 63924 and find the biggest common factor number .

Step-1: Prime Factorization of 63912

Prime factors of 63912 are 2, 3, 2663. Prime factorization of 63912 in exponential form is:

63912 = 2³ × 3¹ × 2663¹

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 63912

List of positive integer factors of 63912 that divides 63912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2663, 5326, 7989, 10652, 15978, 21304, 31956

Step-4: Factors of 63924

List of positive integer factors of 63924 that divides 63912 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 63912 and 63924. The biggest common factor number is the GCF number.
So the greatest common factor 63912 and 63924 is 12.

Also check out the Least Common Multiple of 63912 and 63924