What is the Greatest Common Factor of 23742 and 23754?

Greatest common factor (GCF) of 23742 and 23754 is 6.

GCF(23742,23754) = 6

We will now calculate the prime factors of 23742 and 23754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23742 and 23754.

How to find the GCF of 23742 and 23754?

We will first find the prime factorization of 23742 and 23754. After we will calculate the factors of 23742 and 23754 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 23754

Prime factors of 23754 are 2, 3, 37, 107. Prime factorization of 23754 in exponential form is:

23754 = 2¹ × 3¹ × 37¹ × 107¹

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 23754

List of positive integer factors of 23754 that divides 23742 without a remainder.

1, 2, 3, 6, 37, 74, 107, 111, 214, 222, 321, 642, 3959, 7918, 11877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23742 and 23754. The biggest common factor number is the GCF number.
So the greatest common factor 23742 and 23754 is 6.

Also check out the Least Common Multiple of 23742 and 23754