What is the Greatest Common Factor of 23604 and 23615?

Greatest common factor (GCF) of 23604 and 23615 is 1.

GCF(23604,23615) = 1

We will now calculate the prime factors of 23604 and 23615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23604 and 23615.

How to find the GCF of 23604 and 23615?

We will first find the prime factorization of 23604 and 23615. After we will calculate the factors of 23604 and 23615 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 23615

Prime factors of 23615 are 5, 4723. Prime factorization of 23615 in exponential form is:

23615 = 5¹ × 4723¹

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 23615

List of positive integer factors of 23615 that divides 23604 without a remainder.

1, 5, 4723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23604 and 23615. The biggest common factor number is the GCF number.
So the greatest common factor 23604 and 23615 is 1.

Also check out the Least Common Multiple of 23604 and 23615