What is the Greatest Common Factor of 4852 and 4864?

Greatest common factor (GCF) of 4852 and 4864 is 4.

GCF(4852,4864) = 4

We will now calculate the prime factors of 4852 and 4864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4852 and 4864.

How to find the GCF of 4852 and 4864?

We will first find the prime factorization of 4852 and 4864. After we will calculate the factors of 4852 and 4864 and find the biggest common factor number .

Step-1: Prime Factorization of 4852

Prime factors of 4852 are 2, 1213. Prime factorization of 4852 in exponential form is:

4852 = 2² × 1213¹

Step-2: Prime Factorization of 4864

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

4864 = 2⁸ × 19¹

Step-3: Factors of 4852

List of positive integer factors of 4852 that divides 4852 without a remainder.

1, 2, 4, 1213, 2426

Step-4: Factors of 4864

List of positive integer factors of 4864 that divides 4852 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4852 and 4864. The biggest common factor number is the GCF number.
So the greatest common factor 4852 and 4864 is 4.

Also check out the Least Common Multiple of 4852 and 4864