What is the Greatest Common Factor of 22608 and 22614?

Greatest common factor (GCF) of 22608 and 22614 is 6.

GCF(22608,22614) = 6

We will now calculate the prime factors of 22608 and 22614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22608 and 22614.

How to find the GCF of 22608 and 22614?

We will first find the prime factorization of 22608 and 22614. After we will calculate the factors of 22608 and 22614 and find the biggest common factor number .

Step-1: Prime Factorization of 22608

Prime factors of 22608 are 2, 3, 157. Prime factorization of 22608 in exponential form is:

22608 = 2⁴ × 3² × 157¹

Step-2: 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-3: Factors of 22608

List of positive integer factors of 22608 that divides 22608 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 157, 314, 471, 628, 942, 1256, 1413, 1884, 2512, 2826, 3768, 5652, 7536, 11304

Step-4: Factors of 22614

List of positive integer factors of 22614 that divides 22608 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22608 and 22614. The biggest common factor number is the GCF number.
So the greatest common factor 22608 and 22614 is 6.

Also check out the Least Common Multiple of 22608 and 22614