What is the Greatest Common Factor of 57945 and 57960?

Greatest common factor (GCF) of 57945 and 57960 is 15.

GCF(57945,57960) = 15

We will now calculate the prime factors of 57945 and 57960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57945 and 57960.

How to find the GCF of 57945 and 57960?

We will first find the prime factorization of 57945 and 57960. After we will calculate the factors of 57945 and 57960 and find the biggest common factor number .

Step-1: Prime Factorization of 57945

Prime factors of 57945 are 3, 5, 3863. Prime factorization of 57945 in exponential form is:

57945 = 3¹ × 5¹ × 3863¹

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 57945

List of positive integer factors of 57945 that divides 57945 without a remainder.

1, 3, 5, 15, 3863, 11589, 19315

Step-4: Factors of 57960

List of positive integer factors of 57960 that divides 57945 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 57945 and 57960. The biggest common factor number is the GCF number.
So the greatest common factor 57945 and 57960 is 15.

Also check out the Least Common Multiple of 57945 and 57960