What is the Greatest Common Factor of 58770 and 58790?

Greatest common factor (GCF) of 58770 and 58790 is 10.

GCF(58770,58790) = 10

We will now calculate the prime factors of 58770 and 58790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58770 and 58790.

How to find the GCF of 58770 and 58790?

We will first find the prime factorization of 58770 and 58790. After we will calculate the factors of 58770 and 58790 and find the biggest common factor number .

Step-1: Prime Factorization of 58770

Prime factors of 58770 are 2, 3, 5, 653. Prime factorization of 58770 in exponential form is:

58770 = 2¹ × 3² × 5¹ × 653¹

Step-2: Prime Factorization of 58790

Prime factors of 58790 are 2, 5, 5879. Prime factorization of 58790 in exponential form is:

58790 = 2¹ × 5¹ × 5879¹

Step-3: Factors of 58770

List of positive integer factors of 58770 that divides 58770 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 653, 1306, 1959, 3265, 3918, 5877, 6530, 9795, 11754, 19590, 29385

Step-4: Factors of 58790

List of positive integer factors of 58790 that divides 58770 without a remainder.

1, 2, 5, 10, 5879, 11758, 29395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58770 and 58790. The biggest common factor number is the GCF number.
So the greatest common factor 58770 and 58790 is 10.

Also check out the Least Common Multiple of 58770 and 58790