What is the Greatest Common Factor of 9605 and 9615?

Greatest common factor (GCF) of 9605 and 9615 is 5.

GCF(9605,9615) = 5

We will now calculate the prime factors of 9605 and 9615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9605 and 9615.

How to find the GCF of 9605 and 9615?

We will first find the prime factorization of 9605 and 9615. After we will calculate the factors of 9605 and 9615 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 9615

Prime factors of 9615 are 3, 5, 641. Prime factorization of 9615 in exponential form is:

9615 = 3¹ × 5¹ × 641¹

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 9615

List of positive integer factors of 9615 that divides 9605 without a remainder.

1, 3, 5, 15, 641, 1923, 3205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9605 and 9615. The biggest common factor number is the GCF number.
So the greatest common factor 9605 and 9615 is 5.

Also check out the Least Common Multiple of 9605 and 9615