What is the Greatest Common Factor of 57960 and 57976?

Greatest common factor (GCF) of 57960 and 57976 is 8.

GCF(57960,57976) = 8

We will now calculate the prime factors of 57960 and 57976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57960 and 57976.

How to find the GCF of 57960 and 57976?

We will first find the prime factorization of 57960 and 57976. After we will calculate the factors of 57960 and 57976 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 57976

Prime factors of 57976 are 2, 7247. Prime factorization of 57976 in exponential form is:

57976 = 2³ × 7247¹

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 57976

List of positive integer factors of 57976 that divides 57960 without a remainder.

1, 2, 4, 8, 7247, 14494, 28988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57960 and 57976. The biggest common factor number is the GCF number.
So the greatest common factor 57960 and 57976 is 8.

Also check out the Least Common Multiple of 57960 and 57976