What is the Greatest Common Factor of 52446 and 52464?

Greatest common factor (GCF) of 52446 and 52464 is 6.

GCF(52446,52464) = 6

We will now calculate the prime factors of 52446 and 52464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52446 and 52464.

How to find the GCF of 52446 and 52464?

We will first find the prime factorization of 52446 and 52464. After we will calculate the factors of 52446 and 52464 and find the biggest common factor number .

Step-1: Prime Factorization of 52446

Prime factors of 52446 are 2, 3, 8741. Prime factorization of 52446 in exponential form is:

52446 = 2¹ × 3¹ × 8741¹

Step-2: 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-3: Factors of 52446

List of positive integer factors of 52446 that divides 52446 without a remainder.

1, 2, 3, 6, 8741, 17482, 26223

Step-4: Factors of 52464

List of positive integer factors of 52464 that divides 52446 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52446 and 52464. The biggest common factor number is the GCF number.
So the greatest common factor 52446 and 52464 is 6.

Also check out the Least Common Multiple of 52446 and 52464