What is the Greatest Common Factor of 22406 and 22423?

Greatest common factor (GCF) of 22406 and 22423 is 17.

GCF(22406,22423) = 17

We will now calculate the prime factors of 22406 and 22423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22406 and 22423.

How to find the GCF of 22406 and 22423?

We will first find the prime factorization of 22406 and 22423. After we will calculate the factors of 22406 and 22423 and find the biggest common factor number .

Step-1: Prime Factorization of 22406

Prime factors of 22406 are 2, 17, 659. Prime factorization of 22406 in exponential form is:

22406 = 2¹ × 17¹ × 659¹

Step-2: Prime Factorization of 22423

Prime factors of 22423 are 17, 1319. Prime factorization of 22423 in exponential form is:

22423 = 17¹ × 1319¹

Step-3: Factors of 22406

List of positive integer factors of 22406 that divides 22406 without a remainder.

1, 2, 17, 34, 659, 1318, 11203

Step-4: Factors of 22423

List of positive integer factors of 22423 that divides 22406 without a remainder.

1, 17, 1319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22406 and 22423. The biggest common factor number is the GCF number.
So the greatest common factor 22406 and 22423 is 17.

Also check out the Least Common Multiple of 22406 and 22423