What is the Greatest Common Factor of 57940 and 57960?

Greatest common factor (GCF) of 57940 and 57960 is 20.

GCF(57940,57960) = 20

We will now calculate the prime factors of 57940 and 57960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57940 and 57960.

How to find the GCF of 57940 and 57960?

We will first find the prime factorization of 57940 and 57960. After we will calculate the factors of 57940 and 57960 and find the biggest common factor number .

Step-1: Prime Factorization of 57940

Prime factors of 57940 are 2, 5, 2897. Prime factorization of 57940 in exponential form is:

57940 = 2² × 5¹ × 2897¹

Step-2: 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-3: Factors of 57940

List of positive integer factors of 57940 that divides 57940 without a remainder.

1, 2, 4, 5, 10, 20, 2897, 5794, 11588, 14485, 28970

Step-4: Factors of 57960

List of positive integer factors of 57960 that divides 57940 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57940 and 57960. The biggest common factor number is the GCF number.
So the greatest common factor 57940 and 57960 is 20.

Also check out the Least Common Multiple of 57940 and 57960