What is the Greatest Common Factor of 23442 and 23462?

Greatest common factor (GCF) of 23442 and 23462 is 2.

GCF(23442,23462) = 2

We will now calculate the prime factors of 23442 and 23462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23442 and 23462.

How to find the GCF of 23442 and 23462?

We will first find the prime factorization of 23442 and 23462. After we will calculate the factors of 23442 and 23462 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23462

Prime factors of 23462 are 2, 11731. Prime factorization of 23462 in exponential form is:

23462 = 2¹ × 11731¹

Step-3: Factors of 23442

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

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

Step-4: Factors of 23462

List of positive integer factors of 23462 that divides 23442 without a remainder.

1, 2, 11731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23442 and 23462. The biggest common factor number is the GCF number.
So the greatest common factor 23442 and 23462 is 2.

Also check out the Least Common Multiple of 23442 and 23462