What is the Greatest Common Factor of 58600 and 58610?

Greatest common factor (GCF) of 58600 and 58610 is 10.

GCF(58600,58610) = 10

We will now calculate the prime factors of 58600 and 58610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58600 and 58610.

How to find the GCF of 58600 and 58610?

We will first find the prime factorization of 58600 and 58610. After we will calculate the factors of 58600 and 58610 and find the biggest common factor number .

Step-1: Prime Factorization of 58600

Prime factors of 58600 are 2, 5, 293. Prime factorization of 58600 in exponential form is:

58600 = 2³ × 5² × 293¹

Step-2: Prime Factorization of 58610

Prime factors of 58610 are 2, 5, 5861. Prime factorization of 58610 in exponential form is:

58610 = 2¹ × 5¹ × 5861¹

Step-3: Factors of 58600

List of positive integer factors of 58600 that divides 58600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 293, 586, 1172, 1465, 2344, 2930, 5860, 7325, 11720, 14650, 29300

Step-4: Factors of 58610

List of positive integer factors of 58610 that divides 58600 without a remainder.

1, 2, 5, 10, 5861, 11722, 29305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58600 and 58610. The biggest common factor number is the GCF number.
So the greatest common factor 58600 and 58610 is 10.

Also check out the Least Common Multiple of 58600 and 58610