Greatest Common Factor of 2142 and 2149

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 2142, 2149 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2142 and 2149 is 7.

GCF(2142,2149) = 7

GCF of 2142 and 2149

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

GCF of:
and

Greatest Common Factor of 2142 and 2149

GCF of 2142 and 2149 is 7

Prime Factorization of 2142


2 2142
3 1071
3 357
7 119
17 17
1

Prime factors of 2142 are 2,3,7,17. Prime factorization of 2142 in exponential form is:

2142 = 21×32×71×171

Prime Factorization of 2149


7 2149
307 307
1

Prime factors of 2149 are 7,307. Prime factorization of 2149 in exponential form is:

2149 = 71×3071

∴ So by taking common prime factors GCF of 2142 and 2149 is 7

Greatest Common Factor of 2142 and 2149 by matching factors method

Factors of 2142

List of positive integer factors of 2142 that divides 2142 without a remainder.

1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142

Factors of 2149

List of positive integer factors of 2149 that divides 2149 without a remainder.

1,7,307,2149

Greatest Common Factor

We found the factors and prime factorization of 2142 and 2149. The biggest common factor number is the GCF number.
So the greatest common factor 2142 and 2149 is 7.

Also check out the Least Common Multiple of 2142 and 2149

Properties of GCF 2142 and 2149

(i) The GCF of 2142 and 2149 is associative

GCF of 2142 and 2149 = GCF of 2149 and 2142

Related Greatest Common Factor of 2142

Related Greatest Common Factor of 2149

Frequently Asked Questions on GCF of 2142 and 2149

1. What is the GCF of 2142 and 2149?

Answer: GCF of 2142 and 2149 is 7.

2. What are the Factors of 2142?

Answer: Factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142. There are 24 integers that are factors of 2142. The greatest factor of 2142 is 2142.

3. What are the Factors of 2149?

Answer: Factors of 2149 are 1, 7, 307, 2149. There are 4 integers that are factors of 2149. The greatest factor of 2149 is 2149.

4. How to Find the GCF of 2142 and 2149?

Answer:

Greatest Common Factor of 2142 and 2149 = 7

Step 1: Find the prime factorization of 2142

2142 = 2 x 3 x 3 x 7 x 17

Step 2: Find the prime factorization of 2149

2149 = 7 x 307

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

GCF = 7

Step 4: Therefore, the greatest common factor of 2142 and 2149 is 7