What is the Greatest Common Factor of 23742 and 23752?

Greatest common factor (GCF) of 23742 and 23752 is 2.

GCF(23742,23752) = 2

We will now calculate the prime factors of 23742 and 23752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23742 and 23752.

How to find the GCF of 23742 and 23752?

We will first find the prime factorization of 23742 and 23752. After we will calculate the factors of 23742 and 23752 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 23752

Prime factors of 23752 are 2, 2969. Prime factorization of 23752 in exponential form is:

23752 = 2³ × 2969¹

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 23752

List of positive integer factors of 23752 that divides 23742 without a remainder.

1, 2, 4, 8, 2969, 5938, 11876

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23742 and 23752. The biggest common factor number is the GCF number.
So the greatest common factor 23742 and 23752 is 2.

Also check out the Least Common Multiple of 23742 and 23752