What is the Greatest Common Factor of 23438 and 23458?

Greatest common factor (GCF) of 23438 and 23458 is 2.

GCF(23438,23458) = 2

We will now calculate the prime factors of 23438 and 23458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23438 and 23458.

How to find the GCF of 23438 and 23458?

We will first find the prime factorization of 23438 and 23458. After we will calculate the factors of 23438 and 23458 and find the biggest common factor number .

Step-1: Prime Factorization of 23438

Prime factors of 23438 are 2, 11719. Prime factorization of 23438 in exponential form is:

23438 = 2¹ × 11719¹

Step-2: Prime Factorization of 23458

Prime factors of 23458 are 2, 37, 317. Prime factorization of 23458 in exponential form is:

23458 = 2¹ × 37¹ × 317¹

Step-3: Factors of 23438

List of positive integer factors of 23438 that divides 23438 without a remainder.

1, 2, 11719

Step-4: Factors of 23458

List of positive integer factors of 23458 that divides 23438 without a remainder.

1, 2, 37, 74, 317, 634, 11729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23438 and 23458. The biggest common factor number is the GCF number.
So the greatest common factor 23438 and 23458 is 2.

Also check out the Least Common Multiple of 23438 and 23458