Greatest Common Factor of 2130 and 2132

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 2130, 2132 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2130 and 2132 is 2.

GCF(2130,2132) = 2

GCF of 2130 and 2132

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

GCF of:
and

Greatest Common Factor of 2130 and 2132

GCF of 2130 and 2132 is 2

Prime Factorization of 2130


2 2130
3 1065
5 355
71 71
1

Prime factors of 2130 are 2,3,5,71. Prime factorization of 2130 in exponential form is:

2130 = 21×31×51×711

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

∴ So by taking common prime factors GCF of 2130 and 2132 is 2

Greatest Common Factor of 2130 and 2132 by matching factors method

Factors of 2130

List of positive integer factors of 2130 that divides 2130 without a remainder.

1,2,3,5,6,10,15,30,71,142,213,355,426,710,1065,2130

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

Greatest Common Factor

We found the factors and prime factorization of 2130 and 2132. The biggest common factor number is the GCF number.
So the greatest common factor 2130 and 2132 is 2.

Also check out the Least Common Multiple of 2130 and 2132

Properties of GCF 2130 and 2132

(i) The GCF of 2130 and 2132 is associative

GCF of 2130 and 2132 = GCF of 2132 and 2130

Related Greatest Common Factor of 2130

Related Greatest Common Factor of 2132

Frequently Asked Questions on GCF of 2130 and 2132

1. What is the GCF of 2130 and 2132?

Answer: GCF of 2130 and 2132 is 2.

2. What are the Factors of 2130?

Answer: Factors of 2130 are 1, 2, 3, 5, 6, 10, 15, 30, 71, 142, 213, 355, 426, 710, 1065, 2130. There are 16 integers that are factors of 2130. The greatest factor of 2130 is 2130.

3. 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.

4. How to Find the GCF of 2130 and 2132?

Answer:

Greatest Common Factor of 2130 and 2132 = 2

Step 1: Find the prime factorization of 2130

2130 = 2 x 3 x 5 x 71

Step 2: Find the prime factorization of 2132

2132 = 2 x 2 x 13 x 41

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 2130 and 2132 is 2