What is the Greatest Common Factor of 22658 and 22678?

Greatest common factor (GCF) of 22658 and 22678 is 2.

GCF(22658,22678) = 2

We will now calculate the prime factors of 22658 and 22678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22658 and 22678.

How to find the GCF of 22658 and 22678?

We will first find the prime factorization of 22658 and 22678. After we will calculate the factors of 22658 and 22678 and find the biggest common factor number .

Step-1: Prime Factorization of 22658

Prime factors of 22658 are 2, 11329. Prime factorization of 22658 in exponential form is:

22658 = 2¹ × 11329¹

Step-2: Prime Factorization of 22678

Prime factors of 22678 are 2, 17, 23, 29. Prime factorization of 22678 in exponential form is:

22678 = 2¹ × 17¹ × 23¹ × 29¹

Step-3: Factors of 22658

List of positive integer factors of 22658 that divides 22658 without a remainder.

1, 2, 11329

Step-4: Factors of 22678

List of positive integer factors of 22678 that divides 22658 without a remainder.

1, 2, 17, 23, 29, 34, 46, 58, 391, 493, 667, 782, 986, 1334, 11339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22658 and 22678. The biggest common factor number is the GCF number.
So the greatest common factor 22658 and 22678 is 2.

Also check out the Least Common Multiple of 22658 and 22678