What is the Greatest Common Factor of 9604 and 9618?

Greatest common factor (GCF) of 9604 and 9618 is 14.

GCF(9604,9618) = 14

We will now calculate the prime factors of 9604 and 9618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9604 and 9618.

How to find the GCF of 9604 and 9618?

We will first find the prime factorization of 9604 and 9618. After we will calculate the factors of 9604 and 9618 and find the biggest common factor number .

Step-1: Prime Factorization of 9604

Prime factors of 9604 are 2, 7. Prime factorization of 9604 in exponential form is:

9604 = 2² × 7⁴

Step-2: Prime Factorization of 9618

Prime factors of 9618 are 2, 3, 7, 229. Prime factorization of 9618 in exponential form is:

9618 = 2¹ × 3¹ × 7¹ × 229¹

Step-3: Factors of 9604

List of positive integer factors of 9604 that divides 9604 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802

Step-4: Factors of 9618

List of positive integer factors of 9618 that divides 9604 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 229, 458, 687, 1374, 1603, 3206, 4809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9604 and 9618. The biggest common factor number is the GCF number.
So the greatest common factor 9604 and 9618 is 14.

Also check out the Least Common Multiple of 9604 and 9618