What is the Greatest Common Factor of 22474 and 22492?

Greatest common factor (GCF) of 22474 and 22492 is 2.

GCF(22474,22492) = 2

We will now calculate the prime factors of 22474 and 22492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22474 and 22492.

How to find the GCF of 22474 and 22492?

We will first find the prime factorization of 22474 and 22492. After we will calculate the factors of 22474 and 22492 and find the biggest common factor number .

Step-1: Prime Factorization of 22474

Prime factors of 22474 are 2, 17, 661. Prime factorization of 22474 in exponential form is:

22474 = 2¹ × 17¹ × 661¹

Step-2: Prime Factorization of 22492

Prime factors of 22492 are 2, 5623. Prime factorization of 22492 in exponential form is:

22492 = 2² × 5623¹

Step-3: Factors of 22474

List of positive integer factors of 22474 that divides 22474 without a remainder.

1, 2, 17, 34, 661, 1322, 11237

Step-4: Factors of 22492

List of positive integer factors of 22492 that divides 22474 without a remainder.

1, 2, 4, 5623, 11246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22474 and 22492. The biggest common factor number is the GCF number.
So the greatest common factor 22474 and 22492 is 2.

Also check out the Least Common Multiple of 22474 and 22492