Greatest Common Factor of 4130 and 4137

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, 4137 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4130 and 4137 is 7.

GCF(4130,4137) = 7

GCF of 4130 and 4137

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

GCF of:
and

Greatest Common Factor of 4130 and 4137

GCF of 4130 and 4137 is 7

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 4137


3 4137
7 1379
197 197
1

Prime factors of 4137 are 3,7,197. Prime factorization of 4137 in exponential form is:

4137 = 31×71×1971

∴ So by taking common prime factors GCF of 4130 and 4137 is 7

Greatest Common Factor of 4130 and 4137 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 4137

List of positive integer factors of 4137 that divides 4137 without a remainder.

1,3,7,21,197,591,1379,4137

Greatest Common Factor

We found the factors and prime factorization of 4130 and 4137. The biggest common factor number is the GCF number.
So the greatest common factor 4130 and 4137 is 7.

Also check out the Least Common Multiple of 4130 and 4137

Properties of GCF 4130 and 4137

(i) The GCF of 4130 and 4137 is associative

GCF of 4130 and 4137 = GCF of 4137 and 4130

Related Greatest Common Factor of 4130

Related Greatest Common Factor of 4137

Frequently Asked Questions on GCF of 4130 and 4137

1. What is the GCF of 4130 and 4137?

Answer: GCF of 4130 and 4137 is 7.

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 4137?

Answer: Factors of 4137 are 1, 3, 7, 21, 197, 591, 1379, 4137. There are 8 integers that are factors of 4137. The greatest factor of 4137 is 4137.

4. How to Find the GCF of 4130 and 4137?

Answer:

Greatest Common Factor of 4130 and 4137 = 7

Step 1: Find the prime factorization of 4130

4130 = 2 x 5 x 7 x 59

Step 2: Find the prime factorization of 4137

4137 = 3 x 7 x 197

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4130 and 4137 is 7