What is the Greatest Common Factor of 39375 and 39386?

Greatest common factor (GCF) of 39375 and 39386 is 1.

GCF(39375,39386) = 1

We will now calculate the prime factors of 39375 and 39386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39375 and 39386.

How to find the GCF of 39375 and 39386?

We will first find the prime factorization of 39375 and 39386. After we will calculate the factors of 39375 and 39386 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 39386

Prime factors of 39386 are 2, 47, 419. Prime factorization of 39386 in exponential form is:

39386 = 2¹ × 47¹ × 419¹

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 39386

List of positive integer factors of 39386 that divides 39375 without a remainder.

1, 2, 47, 94, 419, 838, 19693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39375 and 39386. The biggest common factor number is the GCF number.
So the greatest common factor 39375 and 39386 is 1.

Also check out the Least Common Multiple of 39375 and 39386