What is the Greatest Common Factor of 57960 and 57980?

Greatest common factor (GCF) of 57960 and 57980 is 20.

GCF(57960,57980) = 20

We will now calculate the prime factors of 57960 and 57980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57960 and 57980.

How to find the GCF of 57960 and 57980?

We will first find the prime factorization of 57960 and 57980. After we will calculate the factors of 57960 and 57980 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 57980

Prime factors of 57980 are 2, 5, 13, 223. Prime factorization of 57980 in exponential form is:

57980 = 2² × 5¹ × 13¹ × 223¹

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 57980

List of positive integer factors of 57980 that divides 57960 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 223, 260, 446, 892, 1115, 2230, 2899, 4460, 5798, 11596, 14495, 28990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57960 and 57980. The biggest common factor number is the GCF number.
So the greatest common factor 57960 and 57980 is 20.

Also check out the Least Common Multiple of 57960 and 57980