What is the Greatest Common Factor of 57045 and 57060?

Greatest common factor (GCF) of 57045 and 57060 is 15.

GCF(57045,57060) = 15

We will now calculate the prime factors of 57045 and 57060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57045 and 57060.

How to find the GCF of 57045 and 57060?

We will first find the prime factorization of 57045 and 57060. After we will calculate the factors of 57045 and 57060 and find the biggest common factor number .

Step-1: Prime Factorization of 57045

Prime factors of 57045 are 3, 5, 3803. Prime factorization of 57045 in exponential form is:

57045 = 3¹ × 5¹ × 3803¹

Step-2: 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-3: Factors of 57045

List of positive integer factors of 57045 that divides 57045 without a remainder.

1, 3, 5, 15, 3803, 11409, 19015

Step-4: Factors of 57060

List of positive integer factors of 57060 that divides 57045 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57045 and 57060. The biggest common factor number is the GCF number.
So the greatest common factor 57045 and 57060 is 15.

Also check out the Least Common Multiple of 57045 and 57060