Greatest Common Factor of 23366 and 23373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 23366, 23373 i.e. 7 largest integer by which both the numbers can be divided.

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

GCF(23366,23373) = 7

GCF of 23366 and 23373

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 23366 and 23373

GCF of 23366 and 23373 is 7

Prime Factorization of 23366


2 23366
7 11683
1669 1669
1

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

23366 = 21×71×16691

Prime Factorization of 23373


3 23373
3 7791
7 2597
7 371
53 53
1

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

23373 = 32×72×531

∴ So by taking common prime factors GCF of 23366 and 23373 is 7

Greatest Common Factor of 23366 and 23373 by matching factors method

Factors of 23366

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

1,2,7,14,1669,3338,11683,23366

Factors of 23373

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

1,3,7,9,21,49,53,63,147,159,371,441,477,1113,2597,3339,7791,23373

Greatest Common Factor

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

Properties of GCF 23366 and 23373

(i) The GCF of 23366 and 23373 is associative

GCF of 23366 and 23373 = GCF of 23373 and 23366

Related Greatest Common Factor of 23366

Related Greatest Common Factor of 23373

Frequently Asked Questions on GCF of 23366 and 23373

1. What is the GCF of 23366 and 23373?

Answer: GCF of 23366 and 23373 is 7.

2. What are the Factors of 23366?

Answer: Factors of 23366 are 1, 2, 7, 14, 1669, 3338, 11683, 23366. There are 8 integers that are factors of 23366. The greatest factor of 23366 is 23366.

3. What are the Factors of 23373?

Answer: Factors of 23373 are 1, 3, 7, 9, 21, 49, 53, 63, 147, 159, 371, 441, 477, 1113, 2597, 3339, 7791, 23373. There are 18 integers that are factors of 23373. The greatest factor of 23373 is 23373.

4. How to Find the GCF of 23366 and 23373?

Answer:

Greatest Common Factor of 23366 and 23373 = 7

Step 1: Find the prime factorization of 23366

23366 = 2 x 7 x 1669

Step 2: Find the prime factorization of 23373

23373 = 3 x 3 x 7 x 7 x 53

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 23366 and 23373 is 7