Greatest Common Factor of 2174 and 2178

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, 2178 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2174 and 2178 is 2.

GCF(2174,2178) = 2

GCF of 2174 and 2178

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

GCF of:
and

Greatest Common Factor of 2174 and 2178

GCF of 2174 and 2178 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 2178


2 2178
3 1089
3 363
11 121
11 11
1

Prime factors of 2178 are 2,3,11. Prime factorization of 2178 in exponential form is:

2178 = 21×32×112

∴ So by taking common prime factors GCF of 2174 and 2178 is 2

Greatest Common Factor of 2174 and 2178 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 2178

List of positive integer factors of 2178 that divides 2178 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,121,198,242,363,726,1089,2178

Greatest Common Factor

We found the factors and prime factorization of 2174 and 2178. The biggest common factor number is the GCF number.
So the greatest common factor 2174 and 2178 is 2.

Also check out the Least Common Multiple of 2174 and 2178

Properties of GCF 2174 and 2178

(i) The GCF of 2174 and 2178 is associative

GCF of 2174 and 2178 = GCF of 2178 and 2174

Related Greatest Common Factor of 2174

Related Greatest Common Factor of 2178

Frequently Asked Questions on GCF of 2174 and 2178

1. What is the GCF of 2174 and 2178?

Answer: GCF of 2174 and 2178 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 2178?

Answer: Factors of 2178 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 2178. There are 18 integers that are factors of 2178. The greatest factor of 2178 is 2178.

4. How to Find the GCF of 2174 and 2178?

Answer:

Greatest Common Factor of 2174 and 2178 = 2

Step 1: Find the prime factorization of 2174

2174 = 2 x 1087

Step 2: Find the prime factorization of 2178

2178 = 2 x 3 x 3 x 11 x 11

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 2178 is 2