What is the Greatest Common Factor of 52456 and 52476?

Greatest common factor (GCF) of 52456 and 52476 is 4.

GCF(52456,52476) = 4

We will now calculate the prime factors of 52456 and 52476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52456 and 52476.

How to find the GCF of 52456 and 52476?

We will first find the prime factorization of 52456 and 52476. After we will calculate the factors of 52456 and 52476 and find the biggest common factor number .

Step-1: Prime Factorization of 52456

Prime factors of 52456 are 2, 79, 83. Prime factorization of 52456 in exponential form is:

52456 = 2³ × 79¹ × 83¹

Step-2: Prime Factorization of 52476

Prime factors of 52476 are 2, 3, 4373. Prime factorization of 52476 in exponential form is:

52476 = 2² × 3¹ × 4373¹

Step-3: Factors of 52456

List of positive integer factors of 52456 that divides 52456 without a remainder.

1, 2, 4, 8, 79, 83, 158, 166, 316, 332, 632, 664, 6557, 13114, 26228

Step-4: Factors of 52476

List of positive integer factors of 52476 that divides 52456 without a remainder.

1, 2, 3, 4, 6, 12, 4373, 8746, 13119, 17492, 26238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52456 and 52476. The biggest common factor number is the GCF number.
So the greatest common factor 52456 and 52476 is 4.

Also check out the Least Common Multiple of 52456 and 52476