What is the Greatest Common Factor of 23366 and 23373?

Greatest common factor (GCF) of 23366 and 23373 is 7.

GCF(23366,23373) = 7

We will now calculate the prime factors of 23366 and 23373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23366 and 23373.

How to find the GCF of 23366 and 23373?

We will first find the prime factorization of 23366 and 23373. After we will calculate the factors of 23366 and 23373 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 23373

Prime factors of 23373 are 3, 7, 53. Prime factorization of 23373 in exponential form is:

23373 = 3² × 7² × 53¹

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 23373

List of positive integer factors of 23373 that divides 23366 without a remainder.

1, 3, 7, 9, 21, 49, 53, 63, 147, 159, 371, 441, 477, 1113, 2597, 3339, 7791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23366 and 23373. The biggest common factor number is the GCF number.
So the greatest common factor 23366 and 23373 is 7.

Also check out the Least Common Multiple of 23366 and 23373