What is the Greatest Common Factor of 40860 and 40875?

Greatest common factor (GCF) of 40860 and 40875 is 15.

GCF(40860,40875) = 15

We will now calculate the prime factors of 40860 and 40875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40860 and 40875.

How to find the GCF of 40860 and 40875?

We will first find the prime factorization of 40860 and 40875. After we will calculate the factors of 40860 and 40875 and find the biggest common factor number .

Step-1: Prime Factorization of 40860

Prime factors of 40860 are 2, 3, 5, 227. Prime factorization of 40860 in exponential form is:

40860 = 2² × 3² × 5¹ × 227¹

Step-2: Prime Factorization of 40875

Prime factors of 40875 are 3, 5, 109. Prime factorization of 40875 in exponential form is:

40875 = 3¹ × 5³ × 109¹

Step-3: Factors of 40860

List of positive integer factors of 40860 that divides 40860 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 227, 454, 681, 908, 1135, 1362, 2043, 2270, 2724, 3405, 4086, 4540, 6810, 8172, 10215, 13620, 20430

Step-4: Factors of 40875

List of positive integer factors of 40875 that divides 40860 without a remainder.

1, 3, 5, 15, 25, 75, 109, 125, 327, 375, 545, 1635, 2725, 8175, 13625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40860 and 40875. The biggest common factor number is the GCF number.
So the greatest common factor 40860 and 40875 is 15.

Also check out the Least Common Multiple of 40860 and 40875