What is the Greatest Common Factor of 57480 and 57492?

Greatest common factor (GCF) of 57480 and 57492 is 12.

GCF(57480,57492) = 12

We will now calculate the prime factors of 57480 and 57492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57480 and 57492.

How to find the GCF of 57480 and 57492?

We will first find the prime factorization of 57480 and 57492. After we will calculate the factors of 57480 and 57492 and find the biggest common factor number .

Step-1: Prime Factorization of 57480

Prime factors of 57480 are 2, 3, 5, 479. Prime factorization of 57480 in exponential form is:

57480 = 2³ × 3¹ × 5¹ × 479¹

Step-2: Prime Factorization of 57492

Prime factors of 57492 are 2, 3, 1597. Prime factorization of 57492 in exponential form is:

57492 = 2² × 3² × 1597¹

Step-3: Factors of 57480

List of positive integer factors of 57480 that divides 57480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 479, 958, 1437, 1916, 2395, 2874, 3832, 4790, 5748, 7185, 9580, 11496, 14370, 19160, 28740

Step-4: Factors of 57492

List of positive integer factors of 57492 that divides 57480 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1597, 3194, 4791, 6388, 9582, 14373, 19164, 28746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57480 and 57492. The biggest common factor number is the GCF number.
So the greatest common factor 57480 and 57492 is 12.

Also check out the Least Common Multiple of 57480 and 57492