Greatest Common Factor of 2174 and 2176

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 2174, 2176 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2174 and 2176 is 2.

GCF(2174,2176) = 2

GCF of 2174 and 2176

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

GCF of:
and

Greatest Common Factor of 2174 and 2176

GCF of 2174 and 2176 is 2

Prime Factorization of 2174


2 2174
1087 1087
1

Prime factors of 2174 are 2,1087. Prime factorization of 2174 in exponential form is:

2174 = 21×10871

Prime Factorization of 2176


2 2176
2 1088
2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 2176 are 2,17. Prime factorization of 2176 in exponential form is:

2176 = 27×171

∴ So by taking common prime factors GCF of 2174 and 2176 is 2

Greatest Common Factor of 2174 and 2176 by matching factors method

Factors of 2174

List of positive integer factors of 2174 that divides 2174 without a remainder.

1,2,1087,2174

Factors of 2176

List of positive integer factors of 2176 that divides 2176 without a remainder.

1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176

Greatest Common Factor

We found the factors and prime factorization of 2174 and 2176. The biggest common factor number is the GCF number.
So the greatest common factor 2174 and 2176 is 2.

Also check out the Least Common Multiple of 2174 and 2176

Properties of GCF 2174 and 2176

(i) The GCF of 2174 and 2176 is associative

GCF of 2174 and 2176 = GCF of 2176 and 2174

Related Greatest Common Factor of 2174

Related Greatest Common Factor of 2176

Frequently Asked Questions on GCF of 2174 and 2176

1. What is the GCF of 2174 and 2176?

Answer: GCF of 2174 and 2176 is 2.

2. What are the Factors of 2174?

Answer: Factors of 2174 are 1, 2, 1087, 2174. There are 4 integers that are factors of 2174. The greatest factor of 2174 is 2174.

3. What are the Factors of 2176?

Answer: Factors of 2176 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176. There are 16 integers that are factors of 2176. The greatest factor of 2176 is 2176.

4. How to Find the GCF of 2174 and 2176?

Answer:

Greatest Common Factor of 2174 and 2176 = 2

Step 1: Find the prime factorization of 2174

2174 = 2 x 1087

Step 2: Find the prime factorization of 2176

2176 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17

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 2174 and 2176 is 2