What is the Greatest Common Factor of 9604 and 9619?

Greatest common factor (GCF) of 9604 and 9619 is 1.

GCF(9604,9619) = 1

We will now calculate the prime factors of 9604 and 9619, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9604 and 9619.

How to find the GCF of 9604 and 9619?

We will first find the prime factorization of 9604 and 9619. After we will calculate the factors of 9604 and 9619 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 9619

Prime factors of 9619 are 9619. Prime factorization of 9619 in exponential form is:

9619 = 9619¹

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 9619

List of positive integer factors of 9619 that divides 9604 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9604 and 9619. The biggest common factor number is the GCF number.
So the greatest common factor 9604 and 9619 is 1.

Also check out the Least Common Multiple of 9604 and 9619