What is the Greatest Common Factor of 39175 and 39195?

Greatest common factor (GCF) of 39175 and 39195 is 5.

GCF(39175,39195) = 5

We will now calculate the prime factors of 39175 and 39195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39175 and 39195.

How to find the GCF of 39175 and 39195?

We will first find the prime factorization of 39175 and 39195. After we will calculate the factors of 39175 and 39195 and find the biggest common factor number .

Step-1: Prime Factorization of 39175

Prime factors of 39175 are 5, 1567. Prime factorization of 39175 in exponential form is:

39175 = 5² × 1567¹

Step-2: Prime Factorization of 39195

Prime factors of 39195 are 3, 5, 13, 67. Prime factorization of 39195 in exponential form is:

39195 = 3² × 5¹ × 13¹ × 67¹

Step-3: Factors of 39175

List of positive integer factors of 39175 that divides 39175 without a remainder.

1, 5, 25, 1567, 7835

Step-4: Factors of 39195

List of positive integer factors of 39195 that divides 39175 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 67, 117, 195, 201, 335, 585, 603, 871, 1005, 2613, 3015, 4355, 7839, 13065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39175 and 39195. The biggest common factor number is the GCF number.
So the greatest common factor 39175 and 39195 is 5.

Also check out the Least Common Multiple of 39175 and 39195