What is the Greatest Common Factor of 52359 and 52368?

Greatest common factor (GCF) of 52359 and 52368 is 3.

GCF(52359,52368) = 3

We will now calculate the prime factors of 52359 and 52368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52359 and 52368.

How to find the GCF of 52359 and 52368?

We will first find the prime factorization of 52359 and 52368. After we will calculate the factors of 52359 and 52368 and find the biggest common factor number .

Step-1: Prime Factorization of 52359

Prime factors of 52359 are 3, 31, 563. Prime factorization of 52359 in exponential form is:

52359 = 3¹ × 31¹ × 563¹

Step-2: Prime Factorization of 52368

Prime factors of 52368 are 2, 3, 1091. Prime factorization of 52368 in exponential form is:

52368 = 2⁴ × 3¹ × 1091¹

Step-3: Factors of 52359

List of positive integer factors of 52359 that divides 52359 without a remainder.

1, 3, 31, 93, 563, 1689, 17453

Step-4: Factors of 52368

List of positive integer factors of 52368 that divides 52359 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1091, 2182, 3273, 4364, 6546, 8728, 13092, 17456, 26184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52359 and 52368. The biggest common factor number is the GCF number.
So the greatest common factor 52359 and 52368 is 3.

Also check out the Least Common Multiple of 52359 and 52368