What is the Greatest Common Factor of 23961 and 23971?

Greatest common factor (GCF) of 23961 and 23971 is 1.

GCF(23961,23971) = 1

We will now calculate the prime factors of 23961 and 23971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23961 and 23971.

How to find the GCF of 23961 and 23971?

We will first find the prime factorization of 23961 and 23971. After we will calculate the factors of 23961 and 23971 and find the biggest common factor number .

Step-1: Prime Factorization of 23961

Prime factors of 23961 are 3, 7, 163. Prime factorization of 23961 in exponential form is:

23961 = 3¹ × 7² × 163¹

Step-2: Prime Factorization of 23971

Prime factors of 23971 are 23971. Prime factorization of 23971 in exponential form is:

23971 = 23971¹

Step-3: Factors of 23961

List of positive integer factors of 23961 that divides 23961 without a remainder.

1, 3, 7, 21, 49, 147, 163, 489, 1141, 3423, 7987

Step-4: Factors of 23971

List of positive integer factors of 23971 that divides 23961 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23961 and 23971. The biggest common factor number is the GCF number.
So the greatest common factor 23961 and 23971 is 1.

Also check out the Least Common Multiple of 23961 and 23971