Greatest Common Factor of 2132 and 2134

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 2132, 2134 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2132 and 2134 is 2.

GCF(2132,2134) = 2

GCF of 2132 and 2134

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

GCF of:
and

Greatest Common Factor of 2132 and 2134

GCF of 2132 and 2134 is 2

Prime Factorization of 2132


2 2132
2 1066
13 533
41 41
1

Prime factors of 2132 are 2,13,41. Prime factorization of 2132 in exponential form is:

2132 = 22×131×411

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

∴ So by taking common prime factors GCF of 2132 and 2134 is 2

Greatest Common Factor of 2132 and 2134 by matching factors method

Factors of 2132

List of positive integer factors of 2132 that divides 2132 without a remainder.

1,2,4,13,26,41,52,82,164,533,1066,2132

Factors of 2134

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

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

Greatest Common Factor

We found the factors and prime factorization of 2132 and 2134. The biggest common factor number is the GCF number.
So the greatest common factor 2132 and 2134 is 2.

Also check out the Least Common Multiple of 2132 and 2134

Properties of GCF 2132 and 2134

(i) The GCF of 2132 and 2134 is associative

GCF of 2132 and 2134 = GCF of 2134 and 2132

Related Greatest Common Factor of 2132

Related Greatest Common Factor of 2134

Frequently Asked Questions on GCF of 2132 and 2134

1. What is the GCF of 2132 and 2134?

Answer: GCF of 2132 and 2134 is 2.

2. What are the Factors of 2132?

Answer: Factors of 2132 are 1, 2, 4, 13, 26, 41, 52, 82, 164, 533, 1066, 2132. There are 12 integers that are factors of 2132. The greatest factor of 2132 is 2132.

3. 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.

4. How to Find the GCF of 2132 and 2134?

Answer:

Greatest Common Factor of 2132 and 2134 = 2

Step 1: Find the prime factorization of 2132

2132 = 2 x 2 x 13 x 41

Step 2: Find the prime factorization of 2134

2134 = 2 x 11 x 97

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 2132 and 2134 is 2