What is the Greatest Common Factor of 23637 and 23643?

Greatest common factor (GCF) of 23637 and 23643 is 3.

GCF(23637,23643) = 3

We will now calculate the prime factors of 23637 and 23643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23637 and 23643.

How to find the GCF of 23637 and 23643?

We will first find the prime factorization of 23637 and 23643. After we will calculate the factors of 23637 and 23643 and find the biggest common factor number .

Step-1: Prime Factorization of 23637

Prime factors of 23637 are 3, 7879. Prime factorization of 23637 in exponential form is:

23637 = 3¹ × 7879¹

Step-2: Prime Factorization of 23643

Prime factors of 23643 are 3, 37, 71. Prime factorization of 23643 in exponential form is:

23643 = 3² × 37¹ × 71¹

Step-3: Factors of 23637

List of positive integer factors of 23637 that divides 23637 without a remainder.

1, 3, 7879

Step-4: Factors of 23643

List of positive integer factors of 23643 that divides 23637 without a remainder.

1, 3, 9, 37, 71, 111, 213, 333, 639, 2627, 7881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23637 and 23643. The biggest common factor number is the GCF number.
So the greatest common factor 23637 and 23643 is 3.

Also check out the Least Common Multiple of 23637 and 23643