What is the Greatest Common Factor of 52464 and 52470?

Greatest common factor (GCF) of 52464 and 52470 is 6.

GCF(52464,52470) = 6

We will now calculate the prime factors of 52464 and 52470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52464 and 52470.

How to find the GCF of 52464 and 52470?

We will first find the prime factorization of 52464 and 52470. After we will calculate the factors of 52464 and 52470 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 52470

Prime factors of 52470 are 2, 3, 5, 11, 53. Prime factorization of 52470 in exponential form is:

52470 = 2¹ × 3² × 5¹ × 11¹ × 53¹

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 52470

List of positive integer factors of 52470 that divides 52464 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 53, 55, 66, 90, 99, 106, 110, 159, 165, 198, 265, 318, 330, 477, 495, 530, 583, 795, 954, 990, 1166, 1590, 1749, 2385, 2915, 3498, 4770, 5247, 5830, 8745, 10494, 17490, 26235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52464 and 52470. The biggest common factor number is the GCF number.
So the greatest common factor 52464 and 52470 is 6.

Also check out the Least Common Multiple of 52464 and 52470