What is the Greatest Common Factor of 62175 and 62195?

Greatest common factor (GCF) of 62175 and 62195 is 5.

GCF(62175,62195) = 5

We will now calculate the prime factors of 62175 and 62195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62175 and 62195.

How to find the GCF of 62175 and 62195?

We will first find the prime factorization of 62175 and 62195. After we will calculate the factors of 62175 and 62195 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 62195

Prime factors of 62195 are 5, 7, 1777. Prime factorization of 62195 in exponential form is:

62195 = 5¹ × 7¹ × 1777¹

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 62195

List of positive integer factors of 62195 that divides 62175 without a remainder.

1, 5, 7, 35, 1777, 8885, 12439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62175 and 62195. The biggest common factor number is the GCF number.
So the greatest common factor 62175 and 62195 is 5.

Also check out the Least Common Multiple of 62175 and 62195