What is the Greatest Common Factor of 58357 and 58370?

Greatest common factor (GCF) of 58357 and 58370 is 13.

GCF(58357,58370) = 13

We will now calculate the prime factors of 58357 and 58370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58357 and 58370.

How to find the GCF of 58357 and 58370?

We will first find the prime factorization of 58357 and 58370. After we will calculate the factors of 58357 and 58370 and find the biggest common factor number .

Step-1: Prime Factorization of 58357

Prime factors of 58357 are 13, 67. Prime factorization of 58357 in exponential form is:

58357 = 13¹ × 67²

Step-2: Prime Factorization of 58370

Prime factors of 58370 are 2, 5, 13, 449. Prime factorization of 58370 in exponential form is:

58370 = 2¹ × 5¹ × 13¹ × 449¹

Step-3: Factors of 58357

List of positive integer factors of 58357 that divides 58357 without a remainder.

1, 13, 67, 871, 4489

Step-4: Factors of 58370

List of positive integer factors of 58370 that divides 58357 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 449, 898, 2245, 4490, 5837, 11674, 29185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58357 and 58370. The biggest common factor number is the GCF number.
So the greatest common factor 58357 and 58370 is 13.

Also check out the Least Common Multiple of 58357 and 58370