What is the Greatest Common Factor of 58360 and 58370?

Greatest common factor (GCF) of 58360 and 58370 is 10.

GCF(58360,58370) = 10

We will now calculate the prime factors of 58360 and 58370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58360 and 58370.

How to find the GCF of 58360 and 58370?

We will first find the prime factorization of 58360 and 58370. After we will calculate the factors of 58360 and 58370 and find the biggest common factor number .

Step-1: Prime Factorization of 58360

Prime factors of 58360 are 2, 5, 1459. Prime factorization of 58360 in exponential form is:

58360 = 2³ × 5¹ × 1459¹

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 58360

List of positive integer factors of 58360 that divides 58360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1459, 2918, 5836, 7295, 11672, 14590, 29180

Step-4: Factors of 58370

List of positive integer factors of 58370 that divides 58360 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 58360 and 58370. The biggest common factor number is the GCF number.
So the greatest common factor 58360 and 58370 is 10.

Also check out the Least Common Multiple of 58360 and 58370