What is the Greatest Common Factor of 63864 and 63878?

Greatest common factor (GCF) of 63864 and 63878 is 2.

GCF(63864,63878) = 2

We will now calculate the prime factors of 63864 and 63878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63864 and 63878.

How to find the GCF of 63864 and 63878?

We will first find the prime factorization of 63864 and 63878. After we will calculate the factors of 63864 and 63878 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 63878

Prime factors of 63878 are 2, 19, 41. Prime factorization of 63878 in exponential form is:

63878 = 2¹ × 19¹ × 41²

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 63878

List of positive integer factors of 63878 that divides 63864 without a remainder.

1, 2, 19, 38, 41, 82, 779, 1558, 1681, 3362, 31939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63864 and 63878. The biggest common factor number is the GCF number.
So the greatest common factor 63864 and 63878 is 2.

Also check out the Least Common Multiple of 63864 and 63878