What is the Greatest Common Factor of 23673 and 23685?

Greatest common factor (GCF) of 23673 and 23685 is 3.

GCF(23673,23685) = 3

We will now calculate the prime factors of 23673 and 23685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23673 and 23685.

How to find the GCF of 23673 and 23685?

We will first find the prime factorization of 23673 and 23685. After we will calculate the factors of 23673 and 23685 and find the biggest common factor number .

Step-1: Prime Factorization of 23673

Prime factors of 23673 are 3, 13, 607. Prime factorization of 23673 in exponential form is:

23673 = 3¹ × 13¹ × 607¹

Step-2: Prime Factorization of 23685

Prime factors of 23685 are 3, 5, 1579. Prime factorization of 23685 in exponential form is:

23685 = 3¹ × 5¹ × 1579¹

Step-3: Factors of 23673

List of positive integer factors of 23673 that divides 23673 without a remainder.

1, 3, 13, 39, 607, 1821, 7891

Step-4: Factors of 23685

List of positive integer factors of 23685 that divides 23673 without a remainder.

1, 3, 5, 15, 1579, 4737, 7895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23673 and 23685. The biggest common factor number is the GCF number.
So the greatest common factor 23673 and 23685 is 3.

Also check out the Least Common Multiple of 23673 and 23685