What is the Greatest Common Factor of 57120 and 57133?

Greatest common factor (GCF) of 57120 and 57133 is 1.

GCF(57120,57133) = 1

We will now calculate the prime factors of 57120 and 57133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57120 and 57133.

How to find the GCF of 57120 and 57133?

We will first find the prime factorization of 57120 and 57133. After we will calculate the factors of 57120 and 57133 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 57133

Prime factors of 57133 are 19, 31, 97. Prime factorization of 57133 in exponential form is:

57133 = 19¹ × 31¹ × 97¹

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 57133

List of positive integer factors of 57133 that divides 57120 without a remainder.

1, 19, 31, 97, 589, 1843, 3007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57120 and 57133. The biggest common factor number is the GCF number.
So the greatest common factor 57120 and 57133 is 1.

Also check out the Least Common Multiple of 57120 and 57133