What is the Greatest Common Factor of 22725 and 22739?

Greatest common factor (GCF) of 22725 and 22739 is 1.

GCF(22725,22739) = 1

We will now calculate the prime factors of 22725 and 22739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22725 and 22739.

How to find the GCF of 22725 and 22739?

We will first find the prime factorization of 22725 and 22739. After we will calculate the factors of 22725 and 22739 and find the biggest common factor number .

Step-1: Prime Factorization of 22725

Prime factors of 22725 are 3, 5, 101. Prime factorization of 22725 in exponential form is:

22725 = 3² × 5² × 101¹

Step-2: Prime Factorization of 22739

Prime factors of 22739 are 22739. Prime factorization of 22739 in exponential form is:

22739 = 22739¹

Step-3: Factors of 22725

List of positive integer factors of 22725 that divides 22725 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 101, 225, 303, 505, 909, 1515, 2525, 4545, 7575

Step-4: Factors of 22739

List of positive integer factors of 22739 that divides 22725 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22725 and 22739. The biggest common factor number is the GCF number.
So the greatest common factor 22725 and 22739 is 1.

Also check out the Least Common Multiple of 22725 and 22739