What is the Greatest Common Factor of 23617 and 23629?

Greatest common factor (GCF) of 23617 and 23629 is 1.

GCF(23617,23629) = 1

We will now calculate the prime factors of 23617 and 23629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23617 and 23629.

How to find the GCF of 23617 and 23629?

We will first find the prime factorization of 23617 and 23629. After we will calculate the factors of 23617 and 23629 and find the biggest common factor number .

Step-1: Prime Factorization of 23617

Prime factors of 23617 are 11, 19, 113. Prime factorization of 23617 in exponential form is:

23617 = 11¹ × 19¹ × 113¹

Step-2: Prime Factorization of 23629

Prime factors of 23629 are 23629. Prime factorization of 23629 in exponential form is:

23629 = 23629¹

Step-3: Factors of 23617

List of positive integer factors of 23617 that divides 23617 without a remainder.

1, 11, 19, 113, 209, 1243, 2147

Step-4: Factors of 23629

List of positive integer factors of 23629 that divides 23617 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23617 and 23629. The biggest common factor number is the GCF number.
So the greatest common factor 23617 and 23629 is 1.

Also check out the Least Common Multiple of 23617 and 23629