What is the Greatest Common Factor of 23474 and 23492?

Greatest common factor (GCF) of 23474 and 23492 is 2.

GCF(23474,23492) = 2

We will now calculate the prime factors of 23474 and 23492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23474 and 23492.

How to find the GCF of 23474 and 23492?

We will first find the prime factorization of 23474 and 23492. After we will calculate the factors of 23474 and 23492 and find the biggest common factor number .

Step-1: Prime Factorization of 23474

Prime factors of 23474 are 2, 11, 97. Prime factorization of 23474 in exponential form is:

23474 = 2¹ × 11² × 97¹

Step-2: Prime Factorization of 23492

Prime factors of 23492 are 2, 7, 839. Prime factorization of 23492 in exponential form is:

23492 = 2² × 7¹ × 839¹

Step-3: Factors of 23474

List of positive integer factors of 23474 that divides 23474 without a remainder.

1, 2, 11, 22, 97, 121, 194, 242, 1067, 2134, 11737

Step-4: Factors of 23492

List of positive integer factors of 23492 that divides 23474 without a remainder.

1, 2, 4, 7, 14, 28, 839, 1678, 3356, 5873, 11746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23474 and 23492. The biggest common factor number is the GCF number.
So the greatest common factor 23474 and 23492 is 2.

Also check out the Least Common Multiple of 23474 and 23492