What is the Greatest Common Factor of 23607 and 23617?

Greatest common factor (GCF) of 23607 and 23617 is 1.

GCF(23607,23617) = 1

We will now calculate the prime factors of 23607 and 23617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23607 and 23617.

How to find the GCF of 23607 and 23617?

We will first find the prime factorization of 23607 and 23617. After we will calculate the factors of 23607 and 23617 and find the biggest common factor number .

Step-1: Prime Factorization of 23607

Prime factors of 23607 are 3, 43, 61. Prime factorization of 23607 in exponential form is:

23607 = 3² × 43¹ × 61¹

Step-2: 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-3: Factors of 23607

List of positive integer factors of 23607 that divides 23607 without a remainder.

1, 3, 9, 43, 61, 129, 183, 387, 549, 2623, 7869

Step-4: Factors of 23617

List of positive integer factors of 23617 that divides 23607 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23607 and 23617. The biggest common factor number is the GCF number.
So the greatest common factor 23607 and 23617 is 1.

Also check out the Least Common Multiple of 23607 and 23617