What is the Greatest Common Factor of 22749 and 22754?

Greatest common factor (GCF) of 22749 and 22754 is 1.

GCF(22749,22754) = 1

We will now calculate the prime factors of 22749 and 22754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22749 and 22754.

How to find the GCF of 22749 and 22754?

We will first find the prime factorization of 22749 and 22754. After we will calculate the factors of 22749 and 22754 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 22754

Prime factors of 22754 are 2, 31, 367. Prime factorization of 22754 in exponential form is:

22754 = 2¹ × 31¹ × 367¹

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 22754

List of positive integer factors of 22754 that divides 22749 without a remainder.

1, 2, 31, 62, 367, 734, 11377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22749 and 22754. The biggest common factor number is the GCF number.
So the greatest common factor 22749 and 22754 is 1.

Also check out the Least Common Multiple of 22749 and 22754