Greatest Common Factor of 4130 and 4136

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, 4136 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4130 and 4136 is 2.

GCF(4130,4136) = 2

GCF of 4130 and 4136

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

GCF of:
and

Greatest Common Factor of 4130 and 4136

GCF of 4130 and 4136 is 2

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 4136


2 4136
2 2068
2 1034
11 517
47 47
1

Prime factors of 4136 are 2,11,47. Prime factorization of 4136 in exponential form is:

4136 = 23×111×471

∴ So by taking common prime factors GCF of 4130 and 4136 is 2

Greatest Common Factor of 4130 and 4136 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 4136

List of positive integer factors of 4136 that divides 4136 without a remainder.

1,2,4,8,11,22,44,47,88,94,188,376,517,1034,2068,4136

Greatest Common Factor

We found the factors and prime factorization of 4130 and 4136. The biggest common factor number is the GCF number.
So the greatest common factor 4130 and 4136 is 2.

Also check out the Least Common Multiple of 4130 and 4136

Properties of GCF 4130 and 4136

(i) The GCF of 4130 and 4136 is associative

GCF of 4130 and 4136 = GCF of 4136 and 4130

Related Greatest Common Factor of 4130

Related Greatest Common Factor of 4136

Frequently Asked Questions on GCF of 4130 and 4136

1. What is the GCF of 4130 and 4136?

Answer: GCF of 4130 and 4136 is 2.

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 4136?

Answer: Factors of 4136 are 1, 2, 4, 8, 11, 22, 44, 47, 88, 94, 188, 376, 517, 1034, 2068, 4136. There are 16 integers that are factors of 4136. The greatest factor of 4136 is 4136.

4. How to Find the GCF of 4130 and 4136?

Answer:

Greatest Common Factor of 4130 and 4136 = 2

Step 1: Find the prime factorization of 4130

4130 = 2 x 5 x 7 x 59

Step 2: Find the prime factorization of 4136

4136 = 2 x 2 x 2 x 11 x 47

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 4130 and 4136 is 2