What is the Greatest Common Factor of 23658 and 23665?

Greatest common factor (GCF) of 23658 and 23665 is 1.

GCF(23658,23665) = 1

We will now calculate the prime factors of 23658 and 23665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23658 and 23665.

How to find the GCF of 23658 and 23665?

We will first find the prime factorization of 23658 and 23665. After we will calculate the factors of 23658 and 23665 and find the biggest common factor number .

Step-1: Prime Factorization of 23658

Prime factors of 23658 are 2, 3, 3943. Prime factorization of 23658 in exponential form is:

23658 = 2¹ × 3¹ × 3943¹

Step-2: Prime Factorization of 23665

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

23665 = 5¹ × 4733¹

Step-3: Factors of 23658

List of positive integer factors of 23658 that divides 23658 without a remainder.

1, 2, 3, 6, 3943, 7886, 11829

Step-4: Factors of 23665

List of positive integer factors of 23665 that divides 23658 without a remainder.

1, 5, 4733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23658 and 23665. The biggest common factor number is the GCF number.
So the greatest common factor 23658 and 23665 is 1.

Also check out the Least Common Multiple of 23658 and 23665