What is the Greatest Common Factor of 58975 and 58995?

Greatest common factor (GCF) of 58975 and 58995 is 5.

GCF(58975,58995) = 5

We will now calculate the prime factors of 58975 and 58995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58975 and 58995.

How to find the GCF of 58975 and 58995?

We will first find the prime factorization of 58975 and 58995. After we will calculate the factors of 58975 and 58995 and find the biggest common factor number .

Step-1: Prime Factorization of 58975

Prime factors of 58975 are 5, 7, 337. Prime factorization of 58975 in exponential form is:

58975 = 5² × 7¹ × 337¹

Step-2: Prime Factorization of 58995

Prime factors of 58995 are 3, 5, 19, 23. Prime factorization of 58995 in exponential form is:

58995 = 3³ × 5¹ × 19¹ × 23¹

Step-3: Factors of 58975

List of positive integer factors of 58975 that divides 58975 without a remainder.

1, 5, 7, 25, 35, 175, 337, 1685, 2359, 8425, 11795

Step-4: Factors of 58995

List of positive integer factors of 58995 that divides 58975 without a remainder.

1, 3, 5, 9, 15, 19, 23, 27, 45, 57, 69, 95, 115, 135, 171, 207, 285, 345, 437, 513, 621, 855, 1035, 1311, 2185, 2565, 3105, 3933, 6555, 11799, 19665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58975 and 58995. The biggest common factor number is the GCF number.
So the greatest common factor 58975 and 58995 is 5.

Also check out the Least Common Multiple of 58975 and 58995