What is the Greatest Common Factor of 23742 and 23761?

Greatest common factor (GCF) of 23742 and 23761 is 1.

GCF(23742,23761) = 1

We will now calculate the prime factors of 23742 and 23761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23742 and 23761.

How to find the GCF of 23742 and 23761?

We will first find the prime factorization of 23742 and 23761. After we will calculate the factors of 23742 and 23761 and find the biggest common factor number .

Step-1: Prime Factorization of 23742

Prime factors of 23742 are 2, 3, 1319. Prime factorization of 23742 in exponential form is:

23742 = 2¹ × 3² × 1319¹

Step-2: Prime Factorization of 23761

Prime factors of 23761 are 23761. Prime factorization of 23761 in exponential form is:

23761 = 23761¹

Step-3: Factors of 23742

List of positive integer factors of 23742 that divides 23742 without a remainder.

1, 2, 3, 6, 9, 18, 1319, 2638, 3957, 7914, 11871

Step-4: Factors of 23761

List of positive integer factors of 23761 that divides 23742 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23742 and 23761. The biggest common factor number is the GCF number.
So the greatest common factor 23742 and 23761 is 1.

Also check out the Least Common Multiple of 23742 and 23761