What is the Greatest Common Factor of 23932 and 23942?

Greatest common factor (GCF) of 23932 and 23942 is 2.

GCF(23932,23942) = 2

We will now calculate the prime factors of 23932 and 23942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23932 and 23942.

How to find the GCF of 23932 and 23942?

We will first find the prime factorization of 23932 and 23942. After we will calculate the factors of 23932 and 23942 and find the biggest common factor number .

Step-1: Prime Factorization of 23932

Prime factors of 23932 are 2, 31, 193. Prime factorization of 23932 in exponential form is:

23932 = 2² × 31¹ × 193¹

Step-2: Prime Factorization of 23942

Prime factors of 23942 are 2, 11971. Prime factorization of 23942 in exponential form is:

23942 = 2¹ × 11971¹

Step-3: Factors of 23932

List of positive integer factors of 23932 that divides 23932 without a remainder.

1, 2, 4, 31, 62, 124, 193, 386, 772, 5983, 11966

Step-4: Factors of 23942

List of positive integer factors of 23942 that divides 23932 without a remainder.

1, 2, 11971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23932 and 23942. The biggest common factor number is the GCF number.
So the greatest common factor 23932 and 23942 is 2.

Also check out the Least Common Multiple of 23932 and 23942