What is the Greatest Common Factor of 22614 and 22623?

Greatest common factor (GCF) of 22614 and 22623 is 3.

GCF(22614,22623) = 3

We will now calculate the prime factors of 22614 and 22623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22614 and 22623.

How to find the GCF of 22614 and 22623?

We will first find the prime factorization of 22614 and 22623. After we will calculate the factors of 22614 and 22623 and find the biggest common factor number .

Step-1: Prime Factorization of 22614

Prime factors of 22614 are 2, 3, 3769. Prime factorization of 22614 in exponential form is:

22614 = 2¹ × 3¹ × 3769¹

Step-2: Prime Factorization of 22623

Prime factors of 22623 are 3, 7541. Prime factorization of 22623 in exponential form is:

22623 = 3¹ × 7541¹

Step-3: Factors of 22614

List of positive integer factors of 22614 that divides 22614 without a remainder.

1, 2, 3, 6, 3769, 7538, 11307

Step-4: Factors of 22623

List of positive integer factors of 22623 that divides 22614 without a remainder.

1, 3, 7541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22614 and 22623. The biggest common factor number is the GCF number.
So the greatest common factor 22614 and 22623 is 3.

Also check out the Least Common Multiple of 22614 and 22623