What is the Greatest Common Factor of 39375 and 39390?

Greatest common factor (GCF) of 39375 and 39390 is 15.

GCF(39375,39390) = 15

We will now calculate the prime factors of 39375 and 39390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39375 and 39390.

How to find the GCF of 39375 and 39390?

We will first find the prime factorization of 39375 and 39390. After we will calculate the factors of 39375 and 39390 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 39390

Prime factors of 39390 are 2, 3, 5, 13, 101. Prime factorization of 39390 in exponential form is:

39390 = 2¹ × 3¹ × 5¹ × 13¹ × 101¹

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 39390

List of positive integer factors of 39390 that divides 39375 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 101, 130, 195, 202, 303, 390, 505, 606, 1010, 1313, 1515, 2626, 3030, 3939, 6565, 7878, 13130, 19695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39375 and 39390. The biggest common factor number is the GCF number.
So the greatest common factor 39375 and 39390 is 15.

Also check out the Least Common Multiple of 39375 and 39390