What is the Greatest Common Factor of 57103 and 57120?

Greatest common factor (GCF) of 57103 and 57120 is 17.

GCF(57103,57120) = 17

We will now calculate the prime factors of 57103 and 57120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57103 and 57120.

How to find the GCF of 57103 and 57120?

We will first find the prime factorization of 57103 and 57120. After we will calculate the factors of 57103 and 57120 and find the biggest common factor number .

Step-1: Prime Factorization of 57103

Prime factors of 57103 are 17, 3359. Prime factorization of 57103 in exponential form is:

57103 = 17¹ × 3359¹

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 57103

List of positive integer factors of 57103 that divides 57103 without a remainder.

1, 17, 3359

Step-4: Factors of 57120

List of positive integer factors of 57120 that divides 57103 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 57103 and 57120. The biggest common factor number is the GCF number.
So the greatest common factor 57103 and 57120 is 17.

Also check out the Least Common Multiple of 57103 and 57120