What is the Greatest Common Factor of 52464 and 52479?

Greatest common factor (GCF) of 52464 and 52479 is 3.

GCF(52464,52479) = 3

We will now calculate the prime factors of 52464 and 52479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52464 and 52479.

How to find the GCF of 52464 and 52479?

We will first find the prime factorization of 52464 and 52479. After we will calculate the factors of 52464 and 52479 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 52479

Prime factors of 52479 are 3, 7, 17. Prime factorization of 52479 in exponential form is:

52479 = 3² × 7³ × 17¹

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 52479

List of positive integer factors of 52479 that divides 52464 without a remainder.

1, 3, 7, 9, 17, 21, 49, 51, 63, 119, 147, 153, 343, 357, 441, 833, 1029, 1071, 2499, 3087, 5831, 7497, 17493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52464 and 52479. The biggest common factor number is the GCF number.
So the greatest common factor 52464 and 52479 is 3.

Also check out the Least Common Multiple of 52464 and 52479