What is the Greatest Common Factor of 22294 and 22298?

Greatest common factor (GCF) of 22294 and 22298 is 2.

GCF(22294,22298) = 2

We will now calculate the prime factors of 22294 and 22298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22294 and 22298.

How to find the GCF of 22294 and 22298?

We will first find the prime factorization of 22294 and 22298. After we will calculate the factors of 22294 and 22298 and find the biggest common factor number .

Step-1: Prime Factorization of 22294

Prime factors of 22294 are 2, 71, 157. Prime factorization of 22294 in exponential form is:

22294 = 2¹ × 71¹ × 157¹

Step-2: Prime Factorization of 22298

Prime factors of 22298 are 2, 11149. Prime factorization of 22298 in exponential form is:

22298 = 2¹ × 11149¹

Step-3: Factors of 22294

List of positive integer factors of 22294 that divides 22294 without a remainder.

1, 2, 71, 142, 157, 314, 11147

Step-4: Factors of 22298

List of positive integer factors of 22298 that divides 22294 without a remainder.

1, 2, 11149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22294 and 22298. The biggest common factor number is the GCF number.
So the greatest common factor 22294 and 22298 is 2.

Also check out the Least Common Multiple of 22294 and 22298