What is the Greatest Common Factor of 40875 and 40894?

Greatest common factor (GCF) of 40875 and 40894 is 1.

GCF(40875,40894) = 1

We will now calculate the prime factors of 40875 and 40894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40875 and 40894.

How to find the GCF of 40875 and 40894?

We will first find the prime factorization of 40875 and 40894. After we will calculate the factors of 40875 and 40894 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 40894

Prime factors of 40894 are 2, 7, 23, 127. Prime factorization of 40894 in exponential form is:

40894 = 2¹ × 7¹ × 23¹ × 127¹

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 40894

List of positive integer factors of 40894 that divides 40875 without a remainder.

1, 2, 7, 14, 23, 46, 127, 161, 254, 322, 889, 1778, 2921, 5842, 20447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40875 and 40894. The biggest common factor number is the GCF number.
So the greatest common factor 40875 and 40894 is 1.

Also check out the Least Common Multiple of 40875 and 40894