What is the Greatest Common Factor of 4864 and 4872?

Greatest common factor (GCF) of 4864 and 4872 is 8.

GCF(4864,4872) = 8

We will now calculate the prime factors of 4864 and 4872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4864 and 4872.

How to find the GCF of 4864 and 4872?

We will first find the prime factorization of 4864 and 4872. After we will calculate the factors of 4864 and 4872 and find the biggest common factor number .

Step-1: Prime Factorization of 4864

Prime factors of 4864 are 2, 19. Prime factorization of 4864 in exponential form is:

4864 = 2⁸ × 19¹

Step-2: Prime Factorization of 4872

Prime factors of 4872 are 2, 3, 7, 29. Prime factorization of 4872 in exponential form is:

4872 = 2³ × 3¹ × 7¹ × 29¹

Step-3: Factors of 4864

List of positive integer factors of 4864 that divides 4864 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 608, 1216, 2432

Step-4: Factors of 4872

List of positive integer factors of 4872 that divides 4864 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4864 and 4872. The biggest common factor number is the GCF number.
So the greatest common factor 4864 and 4872 is 8.

Also check out the Least Common Multiple of 4864 and 4872