What is the Greatest Common Factor of 22749 and 22765?

Greatest common factor (GCF) of 22749 and 22765 is 1.

GCF(22749,22765) = 1

We will now calculate the prime factors of 22749 and 22765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22749 and 22765.

How to find the GCF of 22749 and 22765?

We will first find the prime factorization of 22749 and 22765. After we will calculate the factors of 22749 and 22765 and find the biggest common factor number .

Step-1: Prime Factorization of 22749

Prime factors of 22749 are 3, 7583. Prime factorization of 22749 in exponential form is:

22749 = 3¹ × 7583¹

Step-2: Prime Factorization of 22765

Prime factors of 22765 are 5, 29, 157. Prime factorization of 22765 in exponential form is:

22765 = 5¹ × 29¹ × 157¹

Step-3: Factors of 22749

List of positive integer factors of 22749 that divides 22749 without a remainder.

1, 3, 7583

Step-4: Factors of 22765

List of positive integer factors of 22765 that divides 22749 without a remainder.

1, 5, 29, 145, 157, 785, 4553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22749 and 22765. The biggest common factor number is the GCF number.
So the greatest common factor 22749 and 22765 is 1.

Also check out the Least Common Multiple of 22749 and 22765