Greatest Common Factor of 15364 and 15366

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 15364, 15366 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15364 and 15366 is 2.

GCF(15364,15366) = 2

GCF of 15364 and 15366

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

GCF of:
and

Greatest Common Factor of 15364 and 15366

GCF of 15364 and 15366 is 2

Prime Factorization of 15364


2 15364
2 7682
23 3841
167 167
1

Prime factors of 15364 are 2,23,167. Prime factorization of 15364 in exponential form is:

15364 = 22×231×1671

Prime Factorization of 15366


2 15366
3 7683
13 2561
197 197
1

Prime factors of 15366 are 2,3,13,197. Prime factorization of 15366 in exponential form is:

15366 = 21×31×131×1971

∴ So by taking common prime factors GCF of 15364 and 15366 is 2

Greatest Common Factor of 15364 and 15366 by matching factors method

Factors of 15364

List of positive integer factors of 15364 that divides 15364 without a remainder.

1,2,4,23,46,92,167,334,668,3841,7682,15364

Factors of 15366

List of positive integer factors of 15366 that divides 15366 without a remainder.

1,2,3,6,13,26,39,78,197,394,591,1182,2561,5122,7683,15366

Greatest Common Factor

We found the factors and prime factorization of 15364 and 15366. The biggest common factor number is the GCF number.
So the greatest common factor 15364 and 15366 is 2.

Also check out the Least Common Multiple of 15364 and 15366

Properties of GCF 15364 and 15366

(i) The GCF of 15364 and 15366 is associative

GCF of 15364 and 15366 = GCF of 15366 and 15364

Related Greatest Common Factor of 15364

Related Greatest Common Factor of 15366

Frequently Asked Questions on GCF of 15364 and 15366

1. What is the GCF of 15364 and 15366?

Answer: GCF of 15364 and 15366 is 2.

2. What are the Factors of 15364?

Answer: Factors of 15364 are 1, 2, 4, 23, 46, 92, 167, 334, 668, 3841, 7682, 15364. There are 12 integers that are factors of 15364. The greatest factor of 15364 is 15364.

3. What are the Factors of 15366?

Answer: Factors of 15366 are 1, 2, 3, 6, 13, 26, 39, 78, 197, 394, 591, 1182, 2561, 5122, 7683, 15366. There are 16 integers that are factors of 15366. The greatest factor of 15366 is 15366.

4. How to Find the GCF of 15364 and 15366?

Answer:

Greatest Common Factor of 15364 and 15366 = 2

Step 1: Find the prime factorization of 15364

15364 = 2 x 2 x 23 x 167

Step 2: Find the prime factorization of 15366

15366 = 2 x 3 x 13 x 197

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

GCF = 2

Step 4: Therefore, the greatest common factor of 15364 and 15366 is 2