What is the Greatest Common Factor of 62175 and 62190?

Greatest common factor (GCF) of 62175 and 62190 is 15.

GCF(62175,62190) = 15

We will now calculate the prime factors of 62175 and 62190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62175 and 62190.

How to find the GCF of 62175 and 62190?

We will first find the prime factorization of 62175 and 62190. After we will calculate the factors of 62175 and 62190 and find the biggest common factor number .

Step-1: Prime Factorization of 62175

Prime factors of 62175 are 3, 5, 829. Prime factorization of 62175 in exponential form is:

62175 = 3¹ × 5² × 829¹

Step-2: Prime Factorization of 62190

Prime factors of 62190 are 2, 3, 5, 691. Prime factorization of 62190 in exponential form is:

62190 = 2¹ × 3² × 5¹ × 691¹

Step-3: Factors of 62175

List of positive integer factors of 62175 that divides 62175 without a remainder.

1, 3, 5, 15, 25, 75, 829, 2487, 4145, 12435, 20725

Step-4: Factors of 62190

List of positive integer factors of 62190 that divides 62175 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 691, 1382, 2073, 3455, 4146, 6219, 6910, 10365, 12438, 20730, 31095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62175 and 62190. The biggest common factor number is the GCF number.
So the greatest common factor 62175 and 62190 is 15.

Also check out the Least Common Multiple of 62175 and 62190