What is the Greatest Common Factor of 39870 and 39875?

Greatest common factor (GCF) of 39870 and 39875 is 5.

GCF(39870,39875) = 5

We will now calculate the prime factors of 39870 and 39875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39870 and 39875.

How to find the GCF of 39870 and 39875?

We will first find the prime factorization of 39870 and 39875. After we will calculate the factors of 39870 and 39875 and find the biggest common factor number .

Step-1: Prime Factorization of 39870

Prime factors of 39870 are 2, 3, 5, 443. Prime factorization of 39870 in exponential form is:

39870 = 2¹ × 3² × 5¹ × 443¹

Step-2: 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-3: Factors of 39870

List of positive integer factors of 39870 that divides 39870 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 443, 886, 1329, 2215, 2658, 3987, 4430, 6645, 7974, 13290, 19935

Step-4: Factors of 39875

List of positive integer factors of 39875 that divides 39870 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39870 and 39875. The biggest common factor number is the GCF number.
So the greatest common factor 39870 and 39875 is 5.

Also check out the Least Common Multiple of 39870 and 39875