What is the Greatest Common Factor of 23278 and 23294?

Greatest common factor (GCF) of 23278 and 23294 is 2.

GCF(23278,23294) = 2

We will now calculate the prime factors of 23278 and 23294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23278 and 23294.

How to find the GCF of 23278 and 23294?

We will first find the prime factorization of 23278 and 23294. After we will calculate the factors of 23278 and 23294 and find the biggest common factor number .

Step-1: Prime Factorization of 23278

Prime factors of 23278 are 2, 103, 113. Prime factorization of 23278 in exponential form is:

23278 = 2¹ × 103¹ × 113¹

Step-2: Prime Factorization of 23294

Prime factors of 23294 are 2, 19, 613. Prime factorization of 23294 in exponential form is:

23294 = 2¹ × 19¹ × 613¹

Step-3: Factors of 23278

List of positive integer factors of 23278 that divides 23278 without a remainder.

1, 2, 103, 113, 206, 226, 11639

Step-4: Factors of 23294

List of positive integer factors of 23294 that divides 23278 without a remainder.

1, 2, 19, 38, 613, 1226, 11647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23278 and 23294. The biggest common factor number is the GCF number.
So the greatest common factor 23278 and 23294 is 2.

Also check out the Least Common Multiple of 23278 and 23294