What is the Greatest Common Factor of 57105 and 57120?

Greatest common factor (GCF) of 57105 and 57120 is 15.

GCF(57105,57120) = 15

We will now calculate the prime factors of 57105 and 57120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57105 and 57120.

How to find the GCF of 57105 and 57120?

We will first find the prime factorization of 57105 and 57120. After we will calculate the factors of 57105 and 57120 and find the biggest common factor number .

Step-1: Prime Factorization of 57105

Prime factors of 57105 are 3, 5, 47. Prime factorization of 57105 in exponential form is:

57105 = 3⁵ × 5¹ × 47¹

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 57105

List of positive integer factors of 57105 that divides 57105 without a remainder.

1, 3, 5, 9, 15, 27, 45, 47, 81, 135, 141, 235, 243, 405, 423, 705, 1215, 1269, 2115, 3807, 6345, 11421, 19035

Step-4: Factors of 57120

List of positive integer factors of 57120 that divides 57105 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 57105 and 57120. The biggest common factor number is the GCF number.
So the greatest common factor 57105 and 57120 is 15.

Also check out the Least Common Multiple of 57105 and 57120