Greatest Common Factor of 2134 and 2142

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 2134, 2142 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2134 and 2142 is 2.

GCF(2134,2142) = 2

GCF of 2134 and 2142

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

GCF of:
and

Greatest Common Factor of 2134 and 2142

GCF of 2134 and 2142 is 2

Prime Factorization of 2134


2 2134
11 1067
97 97
1

Prime factors of 2134 are 2,11,97. Prime factorization of 2134 in exponential form is:

2134 = 21×111×971

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

∴ So by taking common prime factors GCF of 2134 and 2142 is 2

Greatest Common Factor of 2134 and 2142 by matching factors method

Factors of 2134

List of positive integer factors of 2134 that divides 2134 without a remainder.

1,2,11,22,97,194,1067,2134

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

Greatest Common Factor

We found the factors and prime factorization of 2134 and 2142. The biggest common factor number is the GCF number.
So the greatest common factor 2134 and 2142 is 2.

Also check out the Least Common Multiple of 2134 and 2142

Properties of GCF 2134 and 2142

(i) The GCF of 2134 and 2142 is associative

GCF of 2134 and 2142 = GCF of 2142 and 2134

Related Greatest Common Factor of 2134

Related Greatest Common Factor of 2142

Frequently Asked Questions on GCF of 2134 and 2142

1. What is the GCF of 2134 and 2142?

Answer: GCF of 2134 and 2142 is 2.

2. What are the Factors of 2134?

Answer: Factors of 2134 are 1, 2, 11, 22, 97, 194, 1067, 2134. There are 8 integers that are factors of 2134. The greatest factor of 2134 is 2134.

3. 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.

4. How to Find the GCF of 2134 and 2142?

Answer:

Greatest Common Factor of 2134 and 2142 = 2

Step 1: Find the prime factorization of 2134

2134 = 2 x 11 x 97

Step 2: Find the prime factorization of 2142

2142 = 2 x 3 x 3 x 7 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 2134 and 2142 is 2