Greatest Common Factor of 4130 and 4135

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 4130, 4135 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4130 and 4135 is 5.

GCF(4130,4135) = 5

GCF of 4130 and 4135

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

GCF of:
and

Greatest Common Factor of 4130 and 4135

GCF of 4130 and 4135 is 5

Prime Factorization of 4130


2 4130
5 2065
7 413
59 59
1

Prime factors of 4130 are 2,5,7,59. Prime factorization of 4130 in exponential form is:

4130 = 21×51×71×591

Prime Factorization of 4135


5 4135
827 827
1

Prime factors of 4135 are 5,827. Prime factorization of 4135 in exponential form is:

4135 = 51×8271

∴ So by taking common prime factors GCF of 4130 and 4135 is 5

Greatest Common Factor of 4130 and 4135 by matching factors method

Factors of 4130

List of positive integer factors of 4130 that divides 4130 without a remainder.

1,2,5,7,10,14,35,59,70,118,295,413,590,826,2065,4130

Factors of 4135

List of positive integer factors of 4135 that divides 4135 without a remainder.

1,5,827,4135

Greatest Common Factor

We found the factors and prime factorization of 4130 and 4135. The biggest common factor number is the GCF number.
So the greatest common factor 4130 and 4135 is 5.

Also check out the Least Common Multiple of 4130 and 4135

Properties of GCF 4130 and 4135

(i) The GCF of 4130 and 4135 is associative

GCF of 4130 and 4135 = GCF of 4135 and 4130

Related Greatest Common Factor of 4130

Related Greatest Common Factor of 4135

Frequently Asked Questions on GCF of 4130 and 4135

1. What is the GCF of 4130 and 4135?

Answer: GCF of 4130 and 4135 is 5.

2. What are the Factors of 4130?

Answer: Factors of 4130 are 1, 2, 5, 7, 10, 14, 35, 59, 70, 118, 295, 413, 590, 826, 2065, 4130. There are 16 integers that are factors of 4130. The greatest factor of 4130 is 4130.

3. What are the Factors of 4135?

Answer: Factors of 4135 are 1, 5, 827, 4135. There are 4 integers that are factors of 4135. The greatest factor of 4135 is 4135.

4. How to Find the GCF of 4130 and 4135?

Answer:

Greatest Common Factor of 4130 and 4135 = 5

Step 1: Find the prime factorization of 4130

4130 = 2 x 5 x 7 x 59

Step 2: Find the prime factorization of 4135

4135 = 5 x 827

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 4130 and 4135 is 5