What is the Greatest Common Factor of 58956 and 58960?

Greatest common factor (GCF) of 58956 and 58960 is 4.

GCF(58956,58960) = 4

We will now calculate the prime factors of 58956 and 58960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58956 and 58960.

How to find the GCF of 58956 and 58960?

We will first find the prime factorization of 58956 and 58960. After we will calculate the factors of 58956 and 58960 and find the biggest common factor number .

Step-1: Prime Factorization of 58956

Prime factors of 58956 are 2, 3, 17. Prime factorization of 58956 in exponential form is:

58956 = 2² × 3¹ × 17³

Step-2: Prime Factorization of 58960

Prime factors of 58960 are 2, 5, 11, 67. Prime factorization of 58960 in exponential form is:

58960 = 2⁴ × 5¹ × 11¹ × 67¹

Step-3: Factors of 58956

List of positive integer factors of 58956 that divides 58956 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734, 3468, 4913, 9826, 14739, 19652, 29478

Step-4: Factors of 58960

List of positive integer factors of 58960 that divides 58956 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 67, 80, 88, 110, 134, 176, 220, 268, 335, 440, 536, 670, 737, 880, 1072, 1340, 1474, 2680, 2948, 3685, 5360, 5896, 7370, 11792, 14740, 29480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58956 and 58960. The biggest common factor number is the GCF number.
So the greatest common factor 58956 and 58960 is 4.

Also check out the Least Common Multiple of 58956 and 58960