What is the Greatest Common Factor of 40875 and 40895?

Greatest common factor (GCF) of 40875 and 40895 is 5.

GCF(40875,40895) = 5

We will now calculate the prime factors of 40875 and 40895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40875 and 40895.

How to find the GCF of 40875 and 40895?

We will first find the prime factorization of 40875 and 40895. After we will calculate the factors of 40875 and 40895 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40895

Prime factors of 40895 are 5, 8179. Prime factorization of 40895 in exponential form is:

40895 = 5¹ × 8179¹

Step-3: Factors of 40875

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

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

Step-4: Factors of 40895

List of positive integer factors of 40895 that divides 40875 without a remainder.

1, 5, 8179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40875 and 40895. The biggest common factor number is the GCF number.
So the greatest common factor 40875 and 40895 is 5.

Also check out the Least Common Multiple of 40875 and 40895