What is the Greatest Common Factor of 23428 and 23442?

Greatest common factor (GCF) of 23428 and 23442 is 2.

GCF(23428,23442) = 2

We will now calculate the prime factors of 23428 and 23442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23428 and 23442.

How to find the GCF of 23428 and 23442?

We will first find the prime factorization of 23428 and 23442. After we will calculate the factors of 23428 and 23442 and find the biggest common factor number .

Step-1: Prime Factorization of 23428

Prime factors of 23428 are 2, 5857. Prime factorization of 23428 in exponential form is:

23428 = 2² × 5857¹

Step-2: Prime Factorization of 23442

Prime factors of 23442 are 2, 3, 3907. Prime factorization of 23442 in exponential form is:

23442 = 2¹ × 3¹ × 3907¹

Step-3: Factors of 23428

List of positive integer factors of 23428 that divides 23428 without a remainder.

1, 2, 4, 5857, 11714

Step-4: Factors of 23442

List of positive integer factors of 23442 that divides 23428 without a remainder.

1, 2, 3, 6, 3907, 7814, 11721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23428 and 23442. The biggest common factor number is the GCF number.
So the greatest common factor 23428 and 23442 is 2.

Also check out the Least Common Multiple of 23428 and 23442