What is the Greatest Common Factor of 57108 and 57120?

Greatest common factor (GCF) of 57108 and 57120 is 12.

GCF(57108,57120) = 12

We will now calculate the prime factors of 57108 and 57120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57108 and 57120.

How to find the GCF of 57108 and 57120?

We will first find the prime factorization of 57108 and 57120. After we will calculate the factors of 57108 and 57120 and find the biggest common factor number .

Step-1: Prime Factorization of 57108

Prime factors of 57108 are 2, 3, 4759. Prime factorization of 57108 in exponential form is:

57108 = 2² × 3¹ × 4759¹

Step-2: Prime Factorization of 57120

Prime factors of 57120 are 2, 3, 5, 7, 17. Prime factorization of 57120 in exponential form is:

57120 = 2⁵ × 3¹ × 5¹ × 7¹ × 17¹

Step-3: Factors of 57108

List of positive integer factors of 57108 that divides 57108 without a remainder.

1, 2, 3, 4, 6, 12, 4759, 9518, 14277, 19036, 28554

Step-4: Factors of 57120

List of positive integer factors of 57120 that divides 57108 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 17, 20, 21, 24, 28, 30, 32, 34, 35, 40, 42, 48, 51, 56, 60, 68, 70, 80, 84, 85, 96, 102, 105, 112, 119, 120, 136, 140, 160, 168, 170, 204, 210, 224, 238, 240, 255, 272, 280, 336, 340, 357, 408, 420, 476, 480, 510, 544, 560, 595, 672, 680, 714, 816, 840, 952, 1020, 1120, 1190, 1360, 1428, 1632, 1680, 1785, 1904, 2040, 2380, 2720, 2856, 3360, 3570, 3808, 4080, 4760, 5712, 7140, 8160, 9520, 11424, 14280, 19040, 28560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57108 and 57120. The biggest common factor number is the GCF number.
So the greatest common factor 57108 and 57120 is 12.

Also check out the Least Common Multiple of 57108 and 57120