What is the Greatest Common Factor of 22749 and 22762?

Greatest common factor (GCF) of 22749 and 22762 is 1.

GCF(22749,22762) = 1

We will now calculate the prime factors of 22749 and 22762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22749 and 22762.

How to find the GCF of 22749 and 22762?

We will first find the prime factorization of 22749 and 22762. After we will calculate the factors of 22749 and 22762 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 22762

Prime factors of 22762 are 2, 19, 599. Prime factorization of 22762 in exponential form is:

22762 = 2¹ × 19¹ × 599¹

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 22762

List of positive integer factors of 22762 that divides 22749 without a remainder.

1, 2, 19, 38, 599, 1198, 11381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22749 and 22762. The biggest common factor number is the GCF number.
So the greatest common factor 22749 and 22762 is 1.

Also check out the Least Common Multiple of 22749 and 22762