What is the Greatest Common Factor of 58690 and 58700?

Greatest common factor (GCF) of 58690 and 58700 is 10.

GCF(58690,58700) = 10

We will now calculate the prime factors of 58690 and 58700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58690 and 58700.

How to find the GCF of 58690 and 58700?

We will first find the prime factorization of 58690 and 58700. After we will calculate the factors of 58690 and 58700 and find the biggest common factor number .

Step-1: Prime Factorization of 58690

Prime factors of 58690 are 2, 5, 5869. Prime factorization of 58690 in exponential form is:

58690 = 2¹ × 5¹ × 5869¹

Step-2: Prime Factorization of 58700

Prime factors of 58700 are 2, 5, 587. Prime factorization of 58700 in exponential form is:

58700 = 2² × 5² × 587¹

Step-3: Factors of 58690

List of positive integer factors of 58690 that divides 58690 without a remainder.

1, 2, 5, 10, 5869, 11738, 29345

Step-4: Factors of 58700

List of positive integer factors of 58700 that divides 58690 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 587, 1174, 2348, 2935, 5870, 11740, 14675, 29350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58690 and 58700. The biggest common factor number is the GCF number.
So the greatest common factor 58690 and 58700 is 10.

Also check out the Least Common Multiple of 58690 and 58700