What is the Greatest Common Factor of 9605 and 9623?

Greatest common factor (GCF) of 9605 and 9623 is 1.

GCF(9605,9623) = 1

We will now calculate the prime factors of 9605 and 9623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9605 and 9623.

How to find the GCF of 9605 and 9623?

We will first find the prime factorization of 9605 and 9623. After we will calculate the factors of 9605 and 9623 and find the biggest common factor number .

Step-1: Prime Factorization of 9605

Prime factors of 9605 are 5, 17, 113. Prime factorization of 9605 in exponential form is:

9605 = 5¹ × 17¹ × 113¹

Step-2: Prime Factorization of 9623

Prime factors of 9623 are 9623. Prime factorization of 9623 in exponential form is:

9623 = 9623¹

Step-3: Factors of 9605

List of positive integer factors of 9605 that divides 9605 without a remainder.

1, 5, 17, 85, 113, 565, 1921

Step-4: Factors of 9623

List of positive integer factors of 9623 that divides 9605 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9605 and 9623. The biggest common factor number is the GCF number.
So the greatest common factor 9605 and 9623 is 1.

Also check out the Least Common Multiple of 9605 and 9623