What is the Greatest Common Factor of 22614 and 22628?

Greatest common factor (GCF) of 22614 and 22628 is 2.

GCF(22614,22628) = 2

We will now calculate the prime factors of 22614 and 22628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22614 and 22628.

How to find the GCF of 22614 and 22628?

We will first find the prime factorization of 22614 and 22628. After we will calculate the factors of 22614 and 22628 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 22628

Prime factors of 22628 are 2, 5657. Prime factorization of 22628 in exponential form is:

22628 = 2² × 5657¹

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 22628

List of positive integer factors of 22628 that divides 22614 without a remainder.

1, 2, 4, 5657, 11314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22614 and 22628. The biggest common factor number is the GCF number.
So the greatest common factor 22614 and 22628 is 2.

Also check out the Least Common Multiple of 22614 and 22628