What is the Greatest Common Factor of 22700 and 22718?

Greatest common factor (GCF) of 22700 and 22718 is 2.

GCF(22700,22718) = 2

We will now calculate the prime factors of 22700 and 22718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22700 and 22718.

How to find the GCF of 22700 and 22718?

We will first find the prime factorization of 22700 and 22718. After we will calculate the factors of 22700 and 22718 and find the biggest common factor number .

Step-1: Prime Factorization of 22700

Prime factors of 22700 are 2, 5, 227. Prime factorization of 22700 in exponential form is:

22700 = 2² × 5² × 227¹

Step-2: 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-3: Factors of 22700

List of positive integer factors of 22700 that divides 22700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 227, 454, 908, 1135, 2270, 4540, 5675, 11350

Step-4: Factors of 22718

List of positive integer factors of 22718 that divides 22700 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22700 and 22718. The biggest common factor number is the GCF number.
So the greatest common factor 22700 and 22718 is 2.

Also check out the Least Common Multiple of 22700 and 22718