What is the Greatest Common Factor of 22258 and 22274?

Greatest common factor (GCF) of 22258 and 22274 is 2.

GCF(22258,22274) = 2

We will now calculate the prime factors of 22258 and 22274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22258 and 22274.

How to find the GCF of 22258 and 22274?

We will first find the prime factorization of 22258 and 22274. After we will calculate the factors of 22258 and 22274 and find the biggest common factor number .

Step-1: Prime Factorization of 22258

Prime factors of 22258 are 2, 31, 359. Prime factorization of 22258 in exponential form is:

22258 = 2¹ × 31¹ × 359¹

Step-2: Prime Factorization of 22274

Prime factors of 22274 are 2, 7, 37, 43. Prime factorization of 22274 in exponential form is:

22274 = 2¹ × 7¹ × 37¹ × 43¹

Step-3: Factors of 22258

List of positive integer factors of 22258 that divides 22258 without a remainder.

1, 2, 31, 62, 359, 718, 11129

Step-4: Factors of 22274

List of positive integer factors of 22274 that divides 22258 without a remainder.

1, 2, 7, 14, 37, 43, 74, 86, 259, 301, 518, 602, 1591, 3182, 11137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22258 and 22274. The biggest common factor number is the GCF number.
So the greatest common factor 22258 and 22274 is 2.

Also check out the Least Common Multiple of 22258 and 22274