What is the Greatest Common Factor of 57060 and 57072?

Greatest common factor (GCF) of 57060 and 57072 is 12.

GCF(57060,57072) = 12

We will now calculate the prime factors of 57060 and 57072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57060 and 57072.

How to find the GCF of 57060 and 57072?

We will first find the prime factorization of 57060 and 57072. After we will calculate the factors of 57060 and 57072 and find the biggest common factor number .

Step-1: Prime Factorization of 57060

Prime factors of 57060 are 2, 3, 5, 317. Prime factorization of 57060 in exponential form is:

57060 = 2² × 3² × 5¹ × 317¹

Step-2: Prime Factorization of 57072

Prime factors of 57072 are 2, 3, 29, 41. Prime factorization of 57072 in exponential form is:

57072 = 2⁴ × 3¹ × 29¹ × 41¹

Step-3: Factors of 57060

List of positive integer factors of 57060 that divides 57060 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 317, 634, 951, 1268, 1585, 1902, 2853, 3170, 3804, 4755, 5706, 6340, 9510, 11412, 14265, 19020, 28530

Step-4: Factors of 57072

List of positive integer factors of 57072 that divides 57060 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 41, 48, 58, 82, 87, 116, 123, 164, 174, 232, 246, 328, 348, 464, 492, 656, 696, 984, 1189, 1392, 1968, 2378, 3567, 4756, 7134, 9512, 14268, 19024, 28536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57060 and 57072. The biggest common factor number is the GCF number.
So the greatest common factor 57060 and 57072 is 12.

Also check out the Least Common Multiple of 57060 and 57072