What is the Greatest Common Factor of 63864 and 63884?

Greatest common factor (GCF) of 63864 and 63884 is 4.

GCF(63864,63884) = 4

We will now calculate the prime factors of 63864 and 63884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63864 and 63884.

How to find the GCF of 63864 and 63884?

We will first find the prime factorization of 63864 and 63884. After we will calculate the factors of 63864 and 63884 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 63884

Prime factors of 63884 are 2, 15971. Prime factorization of 63884 in exponential form is:

63884 = 2² × 15971¹

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 63884

List of positive integer factors of 63884 that divides 63864 without a remainder.

1, 2, 4, 15971, 31942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63864 and 63884. The biggest common factor number is the GCF number.
So the greatest common factor 63864 and 63884 is 4.

Also check out the Least Common Multiple of 63864 and 63884