What is the Greatest Common Factor of 23324 and 23338?

Greatest common factor (GCF) of 23324 and 23338 is 14.

GCF(23324,23338) = 14

We will now calculate the prime factors of 23324 and 23338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23324 and 23338.

How to find the GCF of 23324 and 23338?

We will first find the prime factorization of 23324 and 23338. After we will calculate the factors of 23324 and 23338 and find the biggest common factor number .

Step-1: Prime Factorization of 23324

Prime factors of 23324 are 2, 7, 17. Prime factorization of 23324 in exponential form is:

23324 = 2² × 7³ × 17¹

Step-2: Prime Factorization of 23338

Prime factors of 23338 are 2, 7, 1667. Prime factorization of 23338 in exponential form is:

23338 = 2¹ × 7¹ × 1667¹

Step-3: Factors of 23324

List of positive integer factors of 23324 that divides 23324 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 343, 476, 686, 833, 1372, 1666, 3332, 5831, 11662

Step-4: Factors of 23338

List of positive integer factors of 23338 that divides 23324 without a remainder.

1, 2, 7, 14, 1667, 3334, 11669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23324 and 23338. The biggest common factor number is the GCF number.
So the greatest common factor 23324 and 23338 is 14.

Also check out the Least Common Multiple of 23324 and 23338