What is the Greatest Common Factor of 22875 and 22879?

Greatest common factor (GCF) of 22875 and 22879 is 1.

GCF(22875,22879) = 1

We will now calculate the prime factors of 22875 and 22879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22875 and 22879.

How to find the GCF of 22875 and 22879?

We will first find the prime factorization of 22875 and 22879. After we will calculate the factors of 22875 and 22879 and find the biggest common factor number .

Step-1: Prime Factorization of 22875

Prime factors of 22875 are 3, 5, 61. Prime factorization of 22875 in exponential form is:

22875 = 3¹ × 5³ × 61¹

Step-2: Prime Factorization of 22879

Prime factors of 22879 are 137, 167. Prime factorization of 22879 in exponential form is:

22879 = 137¹ × 167¹

Step-3: Factors of 22875

List of positive integer factors of 22875 that divides 22875 without a remainder.

1, 3, 5, 15, 25, 61, 75, 125, 183, 305, 375, 915, 1525, 4575, 7625

Step-4: Factors of 22879

List of positive integer factors of 22879 that divides 22875 without a remainder.

1, 137, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22875 and 22879. The biggest common factor number is the GCF number.
So the greatest common factor 22875 and 22879 is 1.

Also check out the Least Common Multiple of 22875 and 22879