Greatest Common Factor of 4118 and 4122

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 4118, 4122 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4118 and 4122 is 2.

GCF(4118,4122) = 2

GCF of 4118 and 4122

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

GCF of:
and

Greatest Common Factor of 4118 and 4122

GCF of 4118 and 4122 is 2

Prime Factorization of 4118


2 4118
29 2059
71 71
1

Prime factors of 4118 are 2,29,71. Prime factorization of 4118 in exponential form is:

4118 = 21×291×711

Prime Factorization of 4122


2 4122
3 2061
3 687
229 229
1

Prime factors of 4122 are 2,3,229. Prime factorization of 4122 in exponential form is:

4122 = 21×32×2291

∴ So by taking common prime factors GCF of 4118 and 4122 is 2

Greatest Common Factor of 4118 and 4122 by matching factors method

Factors of 4118

List of positive integer factors of 4118 that divides 4118 without a remainder.

1,2,29,58,71,142,2059,4118

Factors of 4122

List of positive integer factors of 4122 that divides 4122 without a remainder.

1,2,3,6,9,18,229,458,687,1374,2061,4122

Greatest Common Factor

We found the factors and prime factorization of 4118 and 4122. The biggest common factor number is the GCF number.
So the greatest common factor 4118 and 4122 is 2.

Also check out the Least Common Multiple of 4118 and 4122

Properties of GCF 4118 and 4122

(i) The GCF of 4118 and 4122 is associative

GCF of 4118 and 4122 = GCF of 4122 and 4118

Related Greatest Common Factor of 4118

Related Greatest Common Factor of 4122

Frequently Asked Questions on GCF of 4118 and 4122

1. What is the GCF of 4118 and 4122?

Answer: GCF of 4118 and 4122 is 2.

2. What are the Factors of 4118?

Answer: Factors of 4118 are 1, 2, 29, 58, 71, 142, 2059, 4118. There are 8 integers that are factors of 4118. The greatest factor of 4118 is 4118.

3. What are the Factors of 4122?

Answer: Factors of 4122 are 1, 2, 3, 6, 9, 18, 229, 458, 687, 1374, 2061, 4122. There are 12 integers that are factors of 4122. The greatest factor of 4122 is 4122.

4. How to Find the GCF of 4118 and 4122?

Answer:

Greatest Common Factor of 4118 and 4122 = 2

Step 1: Find the prime factorization of 4118

4118 = 2 x 29 x 71

Step 2: Find the prime factorization of 4122

4122 = 2 x 3 x 3 x 229

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 4118 and 4122 is 2