What is the Greatest Common Factor of 22466 and 22482?

Greatest common factor (GCF) of 22466 and 22482 is 2.

GCF(22466,22482) = 2

We will now calculate the prime factors of 22466 and 22482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22466 and 22482.

How to find the GCF of 22466 and 22482?

We will first find the prime factorization of 22466 and 22482. After we will calculate the factors of 22466 and 22482 and find the biggest common factor number .

Step-1: Prime Factorization of 22466

Prime factors of 22466 are 2, 47, 239. Prime factorization of 22466 in exponential form is:

22466 = 2¹ × 47¹ × 239¹

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 22466

List of positive integer factors of 22466 that divides 22466 without a remainder.

1, 2, 47, 94, 239, 478, 11233

Step-4: Factors of 22482

List of positive integer factors of 22482 that divides 22466 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 22466 and 22482. The biggest common factor number is the GCF number.
So the greatest common factor 22466 and 22482 is 2.

Also check out the Least Common Multiple of 22466 and 22482