Greatest Common Factor of 2184 and 2192

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 2184, 2192 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2184 and 2192 is 8.

GCF(2184,2192) = 8

GCF of 2184 and 2192

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

GCF of:
and

Greatest Common Factor of 2184 and 2192

GCF of 2184 and 2192 is 8

Prime Factorization of 2184


2 2184
2 1092
2 546
3 273
7 91
13 13
1

Prime factors of 2184 are 2,3,7,13. Prime factorization of 2184 in exponential form is:

2184 = 23×31×71×131

Prime Factorization of 2192


2 2192
2 1096
2 548
2 274
137 137
1

Prime factors of 2192 are 2,137. Prime factorization of 2192 in exponential form is:

2192 = 24×1371

∴ So by taking common prime factors GCF of 2184 and 2192 is 8

Greatest Common Factor of 2184 and 2192 by matching factors method

Factors of 2184

List of positive integer factors of 2184 that divides 2184 without a remainder.

1,2,3,4,6,7,8,12,13,14,21,24,26,28,39,42,52,56,78,84,91,104,156,168,182,273,312,364,546,728,1092,2184

Factors of 2192

List of positive integer factors of 2192 that divides 2192 without a remainder.

1,2,4,8,16,137,274,548,1096,2192

Greatest Common Factor

We found the factors and prime factorization of 2184 and 2192. The biggest common factor number is the GCF number.
So the greatest common factor 2184 and 2192 is 8.

Also check out the Least Common Multiple of 2184 and 2192

Properties of GCF 2184 and 2192

(i) The GCF of 2184 and 2192 is associative

GCF of 2184 and 2192 = GCF of 2192 and 2184

Related Greatest Common Factor of 2184

Related Greatest Common Factor of 2192

Frequently Asked Questions on GCF of 2184 and 2192

1. What is the GCF of 2184 and 2192?

Answer: GCF of 2184 and 2192 is 8.

2. What are the Factors of 2184?

Answer: Factors of 2184 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 52, 56, 78, 84, 91, 104, 156, 168, 182, 273, 312, 364, 546, 728, 1092, 2184. There are 32 integers that are factors of 2184. The greatest factor of 2184 is 2184.

3. What are the Factors of 2192?

Answer: Factors of 2192 are 1, 2, 4, 8, 16, 137, 274, 548, 1096, 2192. There are 10 integers that are factors of 2192. The greatest factor of 2192 is 2192.

4. How to Find the GCF of 2184 and 2192?

Answer:

Greatest Common Factor of 2184 and 2192 = 8

Step 1: Find the prime factorization of 2184

2184 = 2 x 2 x 2 x 3 x 7 x 13

Step 2: Find the prime factorization of 2192

2192 = 2 x 2 x 2 x 2 x 137

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 2184 and 2192 is 8