What is the Greatest Common Factor of 9588 and 9605?

Greatest common factor (GCF) of 9588 and 9605 is 17.

GCF(9588,9605) = 17

We will now calculate the prime factors of 9588 and 9605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9588 and 9605.

How to find the GCF of 9588 and 9605?

We will first find the prime factorization of 9588 and 9605. After we will calculate the factors of 9588 and 9605 and find the biggest common factor number .

Step-1: Prime Factorization of 9588

Prime factors of 9588 are 2, 3, 17, 47. Prime factorization of 9588 in exponential form is:

9588 = 2² × 3¹ × 17¹ × 47¹

Step-2: 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-3: Factors of 9588

List of positive integer factors of 9588 that divides 9588 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794

Step-4: Factors of 9605

List of positive integer factors of 9605 that divides 9588 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9588 and 9605. The biggest common factor number is the GCF number.
So the greatest common factor 9588 and 9605 is 17.

Also check out the Least Common Multiple of 9588 and 9605