What is the Greatest Common Factor of 23665 and 23670?

Greatest common factor (GCF) of 23665 and 23670 is 5.

GCF(23665,23670) = 5

We will now calculate the prime factors of 23665 and 23670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23665 and 23670.

How to find the GCF of 23665 and 23670?

We will first find the prime factorization of 23665 and 23670. After we will calculate the factors of 23665 and 23670 and find the biggest common factor number .

Step-1: Prime Factorization of 23665

Prime factors of 23665 are 5, 4733. Prime factorization of 23665 in exponential form is:

23665 = 5¹ × 4733¹

Step-2: Prime Factorization of 23670

Prime factors of 23670 are 2, 3, 5, 263. Prime factorization of 23670 in exponential form is:

23670 = 2¹ × 3² × 5¹ × 263¹

Step-3: Factors of 23665

List of positive integer factors of 23665 that divides 23665 without a remainder.

1, 5, 4733

Step-4: Factors of 23670

List of positive integer factors of 23670 that divides 23665 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 263, 526, 789, 1315, 1578, 2367, 2630, 3945, 4734, 7890, 11835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23665 and 23670. The biggest common factor number is the GCF number.
So the greatest common factor 23665 and 23670 is 5.

Also check out the Least Common Multiple of 23665 and 23670