What is the Greatest Common Factor of 23474 and 23482?

Greatest common factor (GCF) of 23474 and 23482 is 2.

GCF(23474,23482) = 2

We will now calculate the prime factors of 23474 and 23482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23474 and 23482.

How to find the GCF of 23474 and 23482?

We will first find the prime factorization of 23474 and 23482. After we will calculate the factors of 23474 and 23482 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 23482

Prime factors of 23482 are 2, 59, 199. Prime factorization of 23482 in exponential form is:

23482 = 2¹ × 59¹ × 199¹

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 23482

List of positive integer factors of 23482 that divides 23474 without a remainder.

1, 2, 59, 118, 199, 398, 11741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23474 and 23482. The biggest common factor number is the GCF number.
So the greatest common factor 23474 and 23482 is 2.

Also check out the Least Common Multiple of 23474 and 23482