What is the Greatest Common Factor of 57120 and 57125?

Greatest common factor (GCF) of 57120 and 57125 is 5.

GCF(57120,57125) = 5

We will now calculate the prime factors of 57120 and 57125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57120 and 57125.

How to find the GCF of 57120 and 57125?

We will first find the prime factorization of 57120 and 57125. After we will calculate the factors of 57120 and 57125 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 57125

Prime factors of 57125 are 5, 457. Prime factorization of 57125 in exponential form is:

57125 = 5³ × 457¹

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 57125

List of positive integer factors of 57125 that divides 57120 without a remainder.

1, 5, 25, 125, 457, 2285, 11425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57120 and 57125. The biggest common factor number is the GCF number.
So the greatest common factor 57120 and 57125 is 5.

Also check out the Least Common Multiple of 57120 and 57125