What is the Greatest Common Factor of 39875 and 39885?

Greatest common factor (GCF) of 39875 and 39885 is 5.

GCF(39875,39885) = 5

We will now calculate the prime factors of 39875 and 39885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39875 and 39885.

How to find the GCF of 39875 and 39885?

We will first find the prime factorization of 39875 and 39885. After we will calculate the factors of 39875 and 39885 and find the biggest common factor number .

Step-1: Prime Factorization of 39875

Prime factors of 39875 are 5, 11, 29. Prime factorization of 39875 in exponential form is:

39875 = 5³ × 11¹ × 29¹

Step-2: Prime Factorization of 39885

Prime factors of 39885 are 3, 5, 2659. Prime factorization of 39885 in exponential form is:

39885 = 3¹ × 5¹ × 2659¹

Step-3: Factors of 39875

List of positive integer factors of 39875 that divides 39875 without a remainder.

1, 5, 11, 25, 29, 55, 125, 145, 275, 319, 725, 1375, 1595, 3625, 7975

Step-4: Factors of 39885

List of positive integer factors of 39885 that divides 39875 without a remainder.

1, 3, 5, 15, 2659, 7977, 13295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39875 and 39885. The biggest common factor number is the GCF number.
So the greatest common factor 39875 and 39885 is 5.

Also check out the Least Common Multiple of 39875 and 39885