What is the Greatest Common Factor of 22468 and 22482?

Greatest common factor (GCF) of 22468 and 22482 is 2.

GCF(22468,22482) = 2

We will now calculate the prime factors of 22468 and 22482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22468 and 22482.

How to find the GCF of 22468 and 22482?

We will first find the prime factorization of 22468 and 22482. After we will calculate the factors of 22468 and 22482 and find the biggest common factor number .

Step-1: Prime Factorization of 22468

Prime factors of 22468 are 2, 41, 137. Prime factorization of 22468 in exponential form is:

22468 = 2² × 41¹ × 137¹

Step-2: Prime Factorization of 22482

Prime factors of 22482 are 2, 3, 1249. Prime factorization of 22482 in exponential form is:

22482 = 2¹ × 3² × 1249¹

Step-3: Factors of 22468

List of positive integer factors of 22468 that divides 22468 without a remainder.

1, 2, 4, 41, 82, 137, 164, 274, 548, 5617, 11234

Step-4: Factors of 22482

List of positive integer factors of 22482 that divides 22468 without a remainder.

1, 2, 3, 6, 9, 18, 1249, 2498, 3747, 7494, 11241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22468 and 22482. The biggest common factor number is the GCF number.
So the greatest common factor 22468 and 22482 is 2.

Also check out the Least Common Multiple of 22468 and 22482