What is the Greatest Common Factor of 23366 and 23380?

Greatest common factor (GCF) of 23366 and 23380 is 14.

GCF(23366,23380) = 14

We will now calculate the prime factors of 23366 and 23380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23366 and 23380.

How to find the GCF of 23366 and 23380?

We will first find the prime factorization of 23366 and 23380. After we will calculate the factors of 23366 and 23380 and find the biggest common factor number .

Step-1: Prime Factorization of 23366

Prime factors of 23366 are 2, 7, 1669. Prime factorization of 23366 in exponential form is:

23366 = 2¹ × 7¹ × 1669¹

Step-2: Prime Factorization of 23380

Prime factors of 23380 are 2, 5, 7, 167. Prime factorization of 23380 in exponential form is:

23380 = 2² × 5¹ × 7¹ × 167¹

Step-3: Factors of 23366

List of positive integer factors of 23366 that divides 23366 without a remainder.

1, 2, 7, 14, 1669, 3338, 11683

Step-4: Factors of 23380

List of positive integer factors of 23380 that divides 23366 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 167, 334, 668, 835, 1169, 1670, 2338, 3340, 4676, 5845, 11690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23366 and 23380. The biggest common factor number is the GCF number.
So the greatest common factor 23366 and 23380 is 14.

Also check out the Least Common Multiple of 23366 and 23380