What is the Greatest Common Factor of 23670 and 23675?

Greatest common factor (GCF) of 23670 and 23675 is 5.

GCF(23670,23675) = 5

We will now calculate the prime factors of 23670 and 23675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23670 and 23675.

How to find the GCF of 23670 and 23675?

We will first find the prime factorization of 23670 and 23675. After we will calculate the factors of 23670 and 23675 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23675

Prime factors of 23675 are 5, 947. Prime factorization of 23675 in exponential form is:

23675 = 5² × 947¹

Step-3: Factors of 23670

List of positive integer factors of 23670 that divides 23670 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

Step-4: Factors of 23675

List of positive integer factors of 23675 that divides 23670 without a remainder.

1, 5, 25, 947, 4735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23670 and 23675. The biggest common factor number is the GCF number.
So the greatest common factor 23670 and 23675 is 5.

Also check out the Least Common Multiple of 23670 and 23675