What is the Greatest Common Factor of 23604 and 23619?

Greatest common factor (GCF) of 23604 and 23619 is 3.

GCF(23604,23619) = 3

We will now calculate the prime factors of 23604 and 23619, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23604 and 23619.

How to find the GCF of 23604 and 23619?

We will first find the prime factorization of 23604 and 23619. After we will calculate the factors of 23604 and 23619 and find the biggest common factor number .

Step-1: Prime Factorization of 23604

Prime factors of 23604 are 2, 3, 7, 281. Prime factorization of 23604 in exponential form is:

23604 = 2² × 3¹ × 7¹ × 281¹

Step-2: Prime Factorization of 23619

Prime factors of 23619 are 3, 7873. Prime factorization of 23619 in exponential form is:

23619 = 3¹ × 7873¹

Step-3: Factors of 23604

List of positive integer factors of 23604 that divides 23604 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 281, 562, 843, 1124, 1686, 1967, 3372, 3934, 5901, 7868, 11802

Step-4: Factors of 23619

List of positive integer factors of 23619 that divides 23604 without a remainder.

1, 3, 7873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23604 and 23619. The biggest common factor number is the GCF number.
So the greatest common factor 23604 and 23619 is 3.

Also check out the Least Common Multiple of 23604 and 23619