Greatest Common Factor of 2130 and 2135

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, 2135 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2130 and 2135 is 5.

GCF(2130,2135) = 5

GCF of 2130 and 2135

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

GCF of:
and

Greatest Common Factor of 2130 and 2135

GCF of 2130 and 2135 is 5

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 2135


5 2135
7 427
61 61
1

Prime factors of 2135 are 5,7,61. Prime factorization of 2135 in exponential form is:

2135 = 51×71×611

∴ So by taking common prime factors GCF of 2130 and 2135 is 5

Greatest Common Factor of 2130 and 2135 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 2135

List of positive integer factors of 2135 that divides 2135 without a remainder.

1,5,7,35,61,305,427,2135

Greatest Common Factor

We found the factors and prime factorization of 2130 and 2135. The biggest common factor number is the GCF number.
So the greatest common factor 2130 and 2135 is 5.

Also check out the Least Common Multiple of 2130 and 2135

Properties of GCF 2130 and 2135

(i) The GCF of 2130 and 2135 is associative

GCF of 2130 and 2135 = GCF of 2135 and 2130

Related Greatest Common Factor of 2130

Related Greatest Common Factor of 2135

Frequently Asked Questions on GCF of 2130 and 2135

1. What is the GCF of 2130 and 2135?

Answer: GCF of 2130 and 2135 is 5.

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 2135?

Answer: Factors of 2135 are 1, 5, 7, 35, 61, 305, 427, 2135. There are 8 integers that are factors of 2135. The greatest factor of 2135 is 2135.

4. How to Find the GCF of 2130 and 2135?

Answer:

Greatest Common Factor of 2130 and 2135 = 5

Step 1: Find the prime factorization of 2130

2130 = 2 x 3 x 5 x 71

Step 2: Find the prime factorization of 2135

2135 = 5 x 7 x 61

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

GCF = 5

Step 4: Therefore, the greatest common factor of 2130 and 2135 is 5