What is the Greatest Common Factor of 58750 and 58770?

Greatest common factor (GCF) of 58750 and 58770 is 10.

GCF(58750,58770) = 10

We will now calculate the prime factors of 58750 and 58770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58750 and 58770.

How to find the GCF of 58750 and 58770?

We will first find the prime factorization of 58750 and 58770. After we will calculate the factors of 58750 and 58770 and find the biggest common factor number .

Step-1: Prime Factorization of 58750

Prime factors of 58750 are 2, 5, 47. Prime factorization of 58750 in exponential form is:

58750 = 2¹ × 5⁴ × 47¹

Step-2: 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-3: Factors of 58750

List of positive integer factors of 58750 that divides 58750 without a remainder.

1, 2, 5, 10, 25, 47, 50, 94, 125, 235, 250, 470, 625, 1175, 1250, 2350, 5875, 11750, 29375

Step-4: Factors of 58770

List of positive integer factors of 58770 that divides 58750 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58750 and 58770. The biggest common factor number is the GCF number.
So the greatest common factor 58750 and 58770 is 10.

Also check out the Least Common Multiple of 58750 and 58770