What is the Greatest Common Factor of 23646 and 23662?

Greatest common factor (GCF) of 23646 and 23662 is 2.

GCF(23646,23662) = 2

We will now calculate the prime factors of 23646 and 23662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23646 and 23662.

How to find the GCF of 23646 and 23662?

We will first find the prime factorization of 23646 and 23662. After we will calculate the factors of 23646 and 23662 and find the biggest common factor number .

Step-1: Prime Factorization of 23646

Prime factors of 23646 are 2, 3, 7, 563. Prime factorization of 23646 in exponential form is:

23646 = 2¹ × 3¹ × 7¹ × 563¹

Step-2: Prime Factorization of 23662

Prime factors of 23662 are 2, 11831. Prime factorization of 23662 in exponential form is:

23662 = 2¹ × 11831¹

Step-3: Factors of 23646

List of positive integer factors of 23646 that divides 23646 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 563, 1126, 1689, 3378, 3941, 7882, 11823

Step-4: Factors of 23662

List of positive integer factors of 23662 that divides 23646 without a remainder.

1, 2, 11831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23646 and 23662. The biggest common factor number is the GCF number.
So the greatest common factor 23646 and 23662 is 2.

Also check out the Least Common Multiple of 23646 and 23662