What is the Greatest Common Factor of 57960 and 57974?

Greatest common factor (GCF) of 57960 and 57974 is 14.

GCF(57960,57974) = 14

We will now calculate the prime factors of 57960 and 57974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57960 and 57974.

How to find the GCF of 57960 and 57974?

We will first find the prime factorization of 57960 and 57974. After we will calculate the factors of 57960 and 57974 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 57974

Prime factors of 57974 are 2, 7, 41, 101. Prime factorization of 57974 in exponential form is:

57974 = 2¹ × 7¹ × 41¹ × 101¹

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 57974

List of positive integer factors of 57974 that divides 57960 without a remainder.

1, 2, 7, 14, 41, 82, 101, 202, 287, 574, 707, 1414, 4141, 8282, 28987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57960 and 57974. The biggest common factor number is the GCF number.
So the greatest common factor 57960 and 57974 is 14.

Also check out the Least Common Multiple of 57960 and 57974