What is the Greatest Common Factor of 22718 and 22726?

Greatest common factor (GCF) of 22718 and 22726 is 2.

GCF(22718,22726) = 2

We will now calculate the prime factors of 22718 and 22726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22718 and 22726.

How to find the GCF of 22718 and 22726?

We will first find the prime factorization of 22718 and 22726. After we will calculate the factors of 22718 and 22726 and find the biggest common factor number .

Step-1: Prime Factorization of 22718

Prime factors of 22718 are 2, 37, 307. Prime factorization of 22718 in exponential form is:

22718 = 2¹ × 37¹ × 307¹

Step-2: Prime Factorization of 22726

Prime factors of 22726 are 2, 11, 1033. Prime factorization of 22726 in exponential form is:

22726 = 2¹ × 11¹ × 1033¹

Step-3: Factors of 22718

List of positive integer factors of 22718 that divides 22718 without a remainder.

1, 2, 37, 74, 307, 614, 11359

Step-4: Factors of 22726

List of positive integer factors of 22726 that divides 22718 without a remainder.

1, 2, 11, 22, 1033, 2066, 11363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22718 and 22726. The biggest common factor number is the GCF number.
So the greatest common factor 22718 and 22726 is 2.

Also check out the Least Common Multiple of 22718 and 22726