What is the Greatest Common Factor of 22749 and 22769?

Greatest common factor (GCF) of 22749 and 22769 is 1.

GCF(22749,22769) = 1

We will now calculate the prime factors of 22749 and 22769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22749 and 22769.

How to find the GCF of 22749 and 22769?

We will first find the prime factorization of 22749 and 22769. After we will calculate the factors of 22749 and 22769 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 22769

Prime factors of 22769 are 22769. Prime factorization of 22769 in exponential form is:

22769 = 22769¹

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 22769

List of positive integer factors of 22769 that divides 22749 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22749 and 22769. The biggest common factor number is the GCF number.
So the greatest common factor 22749 and 22769 is 1.

Also check out the Least Common Multiple of 22749 and 22769