What is the Greatest Common Factor of 52464 and 52484?

Greatest common factor (GCF) of 52464 and 52484 is 4.

GCF(52464,52484) = 4

We will now calculate the prime factors of 52464 and 52484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52464 and 52484.

How to find the GCF of 52464 and 52484?

We will first find the prime factorization of 52464 and 52484. After we will calculate the factors of 52464 and 52484 and find the biggest common factor number .

Step-1: Prime Factorization of 52464

Prime factors of 52464 are 2, 3, 1093. Prime factorization of 52464 in exponential form is:

52464 = 2⁴ × 3¹ × 1093¹

Step-2: Prime Factorization of 52484

Prime factors of 52484 are 2, 13121. Prime factorization of 52484 in exponential form is:

52484 = 2² × 13121¹

Step-3: Factors of 52464

List of positive integer factors of 52464 that divides 52464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1093, 2186, 3279, 4372, 6558, 8744, 13116, 17488, 26232

Step-4: Factors of 52484

List of positive integer factors of 52484 that divides 52464 without a remainder.

1, 2, 4, 13121, 26242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52464 and 52484. The biggest common factor number is the GCF number.
So the greatest common factor 52464 and 52484 is 4.

Also check out the Least Common Multiple of 52464 and 52484