What is the Greatest Common Factor of 58965 and 58976?

Greatest common factor (GCF) of 58965 and 58976 is 1.

GCF(58965,58976) = 1

We will now calculate the prime factors of 58965 and 58976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58965 and 58976.

How to find the GCF of 58965 and 58976?

We will first find the prime factorization of 58965 and 58976. After we will calculate the factors of 58965 and 58976 and find the biggest common factor number .

Step-1: Prime Factorization of 58965

Prime factors of 58965 are 3, 5, 3931. Prime factorization of 58965 in exponential form is:

58965 = 3¹ × 5¹ × 3931¹

Step-2: Prime Factorization of 58976

Prime factors of 58976 are 2, 19, 97. Prime factorization of 58976 in exponential form is:

58976 = 2⁵ × 19¹ × 97¹

Step-3: Factors of 58965

List of positive integer factors of 58965 that divides 58965 without a remainder.

1, 3, 5, 15, 3931, 11793, 19655

Step-4: Factors of 58976

List of positive integer factors of 58976 that divides 58965 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 97, 152, 194, 304, 388, 608, 776, 1552, 1843, 3104, 3686, 7372, 14744, 29488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58965 and 58976. The biggest common factor number is the GCF number.
So the greatest common factor 58965 and 58976 is 1.

Also check out the Least Common Multiple of 58965 and 58976