What is the Greatest Common Factor of 52464 and 52475?

Greatest common factor (GCF) of 52464 and 52475 is 1.

GCF(52464,52475) = 1

We will now calculate the prime factors of 52464 and 52475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52464 and 52475.

How to find the GCF of 52464 and 52475?

We will first find the prime factorization of 52464 and 52475. After we will calculate the factors of 52464 and 52475 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 52475

Prime factors of 52475 are 5, 2099. Prime factorization of 52475 in exponential form is:

52475 = 5² × 2099¹

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 52475

List of positive integer factors of 52475 that divides 52464 without a remainder.

1, 5, 25, 2099, 10495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52464 and 52475. The biggest common factor number is the GCF number.
So the greatest common factor 52464 and 52475 is 1.

Also check out the Least Common Multiple of 52464 and 52475