What is the Greatest Common Factor of 63864 and 63876?

Greatest common factor (GCF) of 63864 and 63876 is 12.

GCF(63864,63876) = 12

We will now calculate the prime factors of 63864 and 63876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63864 and 63876.

How to find the GCF of 63864 and 63876?

We will first find the prime factorization of 63864 and 63876. After we will calculate the factors of 63864 and 63876 and find the biggest common factor number .

Step-1: Prime Factorization of 63864

Prime factors of 63864 are 2, 3, 887. Prime factorization of 63864 in exponential form is:

63864 = 2³ × 3² × 887¹

Step-2: Prime Factorization of 63876

Prime factors of 63876 are 2, 3, 5323. Prime factorization of 63876 in exponential form is:

63876 = 2² × 3¹ × 5323¹

Step-3: Factors of 63864

List of positive integer factors of 63864 that divides 63864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 887, 1774, 2661, 3548, 5322, 7096, 7983, 10644, 15966, 21288, 31932

Step-4: Factors of 63876

List of positive integer factors of 63876 that divides 63864 without a remainder.

1, 2, 3, 4, 6, 12, 5323, 10646, 15969, 21292, 31938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63864 and 63876. The biggest common factor number is the GCF number.
So the greatest common factor 63864 and 63876 is 12.

Also check out the Least Common Multiple of 63864 and 63876