Greatest Common Factor of 15184 and 15192

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 15184, 15192 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15184 and 15192 is 8.

GCF(15184,15192) = 8

GCF of 15184 and 15192

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

GCF of:
and

Greatest Common Factor of 15184 and 15192

GCF of 15184 and 15192 is 8

Prime Factorization of 15184


2 15184
2 7592
2 3796
2 1898
13 949
73 73
1

Prime factors of 15184 are 2,13,73. Prime factorization of 15184 in exponential form is:

15184 = 24×131×731

Prime Factorization of 15192


2 15192
2 7596
2 3798
3 1899
3 633
211 211
1

Prime factors of 15192 are 2,3,211. Prime factorization of 15192 in exponential form is:

15192 = 23×32×2111

∴ So by taking common prime factors GCF of 15184 and 15192 is 8

Greatest Common Factor of 15184 and 15192 by matching factors method

Factors of 15184

List of positive integer factors of 15184 that divides 15184 without a remainder.

1,2,4,8,13,16,26,52,73,104,146,208,292,584,949,1168,1898,3796,7592,15184

Factors of 15192

List of positive integer factors of 15192 that divides 15192 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,211,422,633,844,1266,1688,1899,2532,3798,5064,7596,15192

Greatest Common Factor

We found the factors and prime factorization of 15184 and 15192. The biggest common factor number is the GCF number.
So the greatest common factor 15184 and 15192 is 8.

Also check out the Least Common Multiple of 15184 and 15192

Properties of GCF 15184 and 15192

(i) The GCF of 15184 and 15192 is associative

GCF of 15184 and 15192 = GCF of 15192 and 15184

Related Greatest Common Factor of 15184

Related Greatest Common Factor of 15192

Frequently Asked Questions on GCF of 15184 and 15192

1. What is the GCF of 15184 and 15192?

Answer: GCF of 15184 and 15192 is 8.

2. What are the Factors of 15184?

Answer: Factors of 15184 are 1, 2, 4, 8, 13, 16, 26, 52, 73, 104, 146, 208, 292, 584, 949, 1168, 1898, 3796, 7592, 15184. There are 20 integers that are factors of 15184. The greatest factor of 15184 is 15184.

3. What are the Factors of 15192?

Answer: Factors of 15192 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 211, 422, 633, 844, 1266, 1688, 1899, 2532, 3798, 5064, 7596, 15192. There are 24 integers that are factors of 15192. The greatest factor of 15192 is 15192.

4. How to Find the GCF of 15184 and 15192?

Answer:

Greatest Common Factor of 15184 and 15192 = 8

Step 1: Find the prime factorization of 15184

15184 = 2 x 2 x 2 x 2 x 13 x 73

Step 2: Find the prime factorization of 15192

15192 = 2 x 2 x 2 x 3 x 3 x 211

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 15184 and 15192 is 8