What is the Greatest Common Factor of 57120 and 57130?

Greatest common factor (GCF) of 57120 and 57130 is 10.

GCF(57120,57130) = 10

We will now calculate the prime factors of 57120 and 57130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57120 and 57130.

How to find the GCF of 57120 and 57130?

We will first find the prime factorization of 57120 and 57130. After we will calculate the factors of 57120 and 57130 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57130

Prime factors of 57130 are 2, 5, 29, 197. Prime factorization of 57130 in exponential form is:

57130 = 2¹ × 5¹ × 29¹ × 197¹

Step-3: Factors of 57120

List of positive integer factors of 57120 that divides 57120 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

Step-4: Factors of 57130

List of positive integer factors of 57130 that divides 57120 without a remainder.

1, 2, 5, 10, 29, 58, 145, 197, 290, 394, 985, 1970, 5713, 11426, 28565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57120 and 57130. The biggest common factor number is the GCF number.
So the greatest common factor 57120 and 57130 is 10.

Also check out the Least Common Multiple of 57120 and 57130