What is the Greatest Common Factor of 22438 and 22451?

Greatest common factor (GCF) of 22438 and 22451 is 13.

GCF(22438,22451) = 13

We will now calculate the prime factors of 22438 and 22451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22438 and 22451.

How to find the GCF of 22438 and 22451?

We will first find the prime factorization of 22438 and 22451. After we will calculate the factors of 22438 and 22451 and find the biggest common factor number .

Step-1: Prime Factorization of 22438

Prime factors of 22438 are 2, 13, 863. Prime factorization of 22438 in exponential form is:

22438 = 2¹ × 13¹ × 863¹

Step-2: Prime Factorization of 22451

Prime factors of 22451 are 11, 13, 157. Prime factorization of 22451 in exponential form is:

22451 = 11¹ × 13¹ × 157¹

Step-3: Factors of 22438

List of positive integer factors of 22438 that divides 22438 without a remainder.

1, 2, 13, 26, 863, 1726, 11219

Step-4: Factors of 22451

List of positive integer factors of 22451 that divides 22438 without a remainder.

1, 11, 13, 143, 157, 1727, 2041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22438 and 22451. The biggest common factor number is the GCF number.
So the greatest common factor 22438 and 22451 is 13.

Also check out the Least Common Multiple of 22438 and 22451