What is the Greatest Common Factor of 39375 and 39395?

Greatest common factor (GCF) of 39375 and 39395 is 5.

GCF(39375,39395) = 5

We will now calculate the prime factors of 39375 and 39395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39375 and 39395.

How to find the GCF of 39375 and 39395?

We will first find the prime factorization of 39375 and 39395. After we will calculate the factors of 39375 and 39395 and find the biggest common factor number .

Step-1: Prime Factorization of 39375

Prime factors of 39375 are 3, 5, 7. Prime factorization of 39375 in exponential form is:

39375 = 3² × 5⁴ × 7¹

Step-2: Prime Factorization of 39395

Prime factors of 39395 are 5, 7879. Prime factorization of 39395 in exponential form is:

39395 = 5¹ × 7879¹

Step-3: Factors of 39375

List of positive integer factors of 39375 that divides 39375 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 625, 875, 1125, 1575, 1875, 2625, 4375, 5625, 7875, 13125

Step-4: Factors of 39395

List of positive integer factors of 39395 that divides 39375 without a remainder.

1, 5, 7879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39375 and 39395. The biggest common factor number is the GCF number.
So the greatest common factor 39375 and 39395 is 5.

Also check out the Least Common Multiple of 39375 and 39395