Greatest Common Factor of 15366 and 15372

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 15366, 15372 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15366 and 15372 is 6.

GCF(15366,15372) = 6

GCF of 15366 and 15372

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

GCF of:
and

Greatest Common Factor of 15366 and 15372

GCF of 15366 and 15372 is 6

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

Prime Factorization of 15372


2 15372
2 7686
3 3843
3 1281
7 427
61 61
1

Prime factors of 15372 are 2,3,7,61. Prime factorization of 15372 in exponential form is:

15372 = 22×32×71×611

∴ So by taking common prime factors GCF of 15366 and 15372 is 6

Greatest Common Factor of 15366 and 15372 by matching factors method

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

Factors of 15372

List of positive integer factors of 15372 that divides 15372 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,61,63,84,122,126,183,244,252,366,427,549,732,854,1098,1281,1708,2196,2562,3843,5124,7686,15372

Greatest Common Factor

We found the factors and prime factorization of 15366 and 15372. The biggest common factor number is the GCF number.
So the greatest common factor 15366 and 15372 is 6.

Also check out the Least Common Multiple of 15366 and 15372

Properties of GCF 15366 and 15372

(i) The GCF of 15366 and 15372 is associative

GCF of 15366 and 15372 = GCF of 15372 and 15366

Related Greatest Common Factor of 15366

Related Greatest Common Factor of 15372

Frequently Asked Questions on GCF of 15366 and 15372

1. What is the GCF of 15366 and 15372?

Answer: GCF of 15366 and 15372 is 6.

2. 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.

3. What are the Factors of 15372?

Answer: Factors of 15372 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 61, 63, 84, 122, 126, 183, 244, 252, 366, 427, 549, 732, 854, 1098, 1281, 1708, 2196, 2562, 3843, 5124, 7686, 15372. There are 36 integers that are factors of 15372. The greatest factor of 15372 is 15372.

4. How to Find the GCF of 15366 and 15372?

Answer:

Greatest Common Factor of 15366 and 15372 = 6

Step 1: Find the prime factorization of 15366

15366 = 2 x 3 x 13 x 197

Step 2: Find the prime factorization of 15372

15372 = 2 x 2 x 3 x 3 x 7 x 61

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 15366 and 15372 is 6