What is the Greatest Common Factor of 57960 and 57970?

Greatest common factor (GCF) of 57960 and 57970 is 10.

GCF(57960,57970) = 10

We will now calculate the prime factors of 57960 and 57970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57960 and 57970.

How to find the GCF of 57960 and 57970?

We will first find the prime factorization of 57960 and 57970. After we will calculate the factors of 57960 and 57970 and find the biggest common factor number .

Step-1: Prime Factorization of 57960

Prime factors of 57960 are 2, 3, 5, 7, 23. Prime factorization of 57960 in exponential form is:

57960 = 2³ × 3² × 5¹ × 7¹ × 23¹

Step-2: Prime Factorization of 57970

Prime factors of 57970 are 2, 5, 11, 17, 31. Prime factorization of 57970 in exponential form is:

57970 = 2¹ × 5¹ × 11¹ × 17¹ × 31¹

Step-3: Factors of 57960

List of positive integer factors of 57960 that divides 57960 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 23, 24, 28, 30, 35, 36, 40, 42, 45, 46, 56, 60, 63, 69, 70, 72, 84, 90, 92, 105, 115, 120, 126, 138, 140, 161, 168, 180, 184, 207, 210, 230, 252, 276, 280, 315, 322, 345, 360, 414, 420, 460, 483, 504, 552, 630, 644, 690, 805, 828, 840, 920, 966, 1035, 1260, 1288, 1380, 1449, 1610, 1656, 1932, 2070, 2415, 2520, 2760, 2898, 3220, 3864, 4140, 4830, 5796, 6440, 7245, 8280, 9660, 11592, 14490, 19320, 28980

Step-4: Factors of 57970

List of positive integer factors of 57970 that divides 57960 without a remainder.

1, 2, 5, 10, 11, 17, 22, 31, 34, 55, 62, 85, 110, 155, 170, 187, 310, 341, 374, 527, 682, 935, 1054, 1705, 1870, 2635, 3410, 5270, 5797, 11594, 28985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57960 and 57970. The biggest common factor number is the GCF number.
So the greatest common factor 57960 and 57970 is 10.

Also check out the Least Common Multiple of 57960 and 57970