What is the Greatest Common Factor of 63872 and 63891?

Greatest common factor (GCF) of 63872 and 63891 is 1.

GCF(63872,63891) = 1

We will now calculate the prime factors of 63872 and 63891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63872 and 63891.

How to find the GCF of 63872 and 63891?

We will first find the prime factorization of 63872 and 63891. After we will calculate the factors of 63872 and 63891 and find the biggest common factor number .

Step-1: Prime Factorization of 63872

Prime factors of 63872 are 2, 499. Prime factorization of 63872 in exponential form is:

63872 = 2⁷ × 499¹

Step-2: Prime Factorization of 63891

Prime factors of 63891 are 3, 31, 229. Prime factorization of 63891 in exponential form is:

63891 = 3² × 31¹ × 229¹

Step-3: Factors of 63872

List of positive integer factors of 63872 that divides 63872 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 499, 998, 1996, 3992, 7984, 15968, 31936

Step-4: Factors of 63891

List of positive integer factors of 63891 that divides 63872 without a remainder.

1, 3, 9, 31, 93, 229, 279, 687, 2061, 7099, 21297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63872 and 63891. The biggest common factor number is the GCF number.
So the greatest common factor 63872 and 63891 is 1.

Also check out the Least Common Multiple of 63872 and 63891