What is the Greatest Common Factor of 57112 and 57120?

Greatest common factor (GCF) of 57112 and 57120 is 8.

GCF(57112,57120) = 8

We will now calculate the prime factors of 57112 and 57120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57112 and 57120.

How to find the GCF of 57112 and 57120?

We will first find the prime factorization of 57112 and 57120. After we will calculate the factors of 57112 and 57120 and find the biggest common factor number .

Step-1: Prime Factorization of 57112

Prime factors of 57112 are 2, 11, 59. Prime factorization of 57112 in exponential form is:

57112 = 2³ × 11² × 59¹

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 57112

List of positive integer factors of 57112 that divides 57112 without a remainder.

1, 2, 4, 8, 11, 22, 44, 59, 88, 118, 121, 236, 242, 472, 484, 649, 968, 1298, 2596, 5192, 7139, 14278, 28556

Step-4: Factors of 57120

List of positive integer factors of 57120 that divides 57112 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 57112 and 57120. The biggest common factor number is the GCF number.
So the greatest common factor 57112 and 57120 is 8.

Also check out the Least Common Multiple of 57112 and 57120