What is the Greatest Common Factor of 57120 and 57137?

Greatest common factor (GCF) of 57120 and 57137 is 17.

GCF(57120,57137) = 17

We will now calculate the prime factors of 57120 and 57137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57120 and 57137.

How to find the GCF of 57120 and 57137?

We will first find the prime factorization of 57120 and 57137. After we will calculate the factors of 57120 and 57137 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 57137

Prime factors of 57137 are 17, 3361. Prime factorization of 57137 in exponential form is:

57137 = 17¹ × 3361¹

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 57137

List of positive integer factors of 57137 that divides 57120 without a remainder.

1, 17, 3361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57120 and 57137. The biggest common factor number is the GCF number.
So the greatest common factor 57120 and 57137 is 17.

Also check out the Least Common Multiple of 57120 and 57137