Greatest Common Factor of 4116 and 4118

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 4116, 4118 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4116 and 4118 is 2.

GCF(4116,4118) = 2

GCF of 4116 and 4118

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

GCF of:
and

Greatest Common Factor of 4116 and 4118

GCF of 4116 and 4118 is 2

Prime Factorization of 4116


2 4116
2 2058
3 1029
7 343
7 49
7 7
1

Prime factors of 4116 are 2,3,7. Prime factorization of 4116 in exponential form is:

4116 = 22×31×73

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

∴ So by taking common prime factors GCF of 4116 and 4118 is 2

Greatest Common Factor of 4116 and 4118 by matching factors method

Factors of 4116

List of positive integer factors of 4116 that divides 4116 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,343,588,686,1029,1372,2058,4116

Factors of 4118

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

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

Greatest Common Factor

We found the factors and prime factorization of 4116 and 4118. The biggest common factor number is the GCF number.
So the greatest common factor 4116 and 4118 is 2.

Also check out the Least Common Multiple of 4116 and 4118

Properties of GCF 4116 and 4118

(i) The GCF of 4116 and 4118 is associative

GCF of 4116 and 4118 = GCF of 4118 and 4116

Related Greatest Common Factor of 4116

Related Greatest Common Factor of 4118

Frequently Asked Questions on GCF of 4116 and 4118

1. What is the GCF of 4116 and 4118?

Answer: GCF of 4116 and 4118 is 2.

2. What are the Factors of 4116?

Answer: Factors of 4116 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116. There are 24 integers that are factors of 4116. The greatest factor of 4116 is 4116.

3. 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.

4. How to Find the GCF of 4116 and 4118?

Answer:

Greatest Common Factor of 4116 and 4118 = 2

Step 1: Find the prime factorization of 4116

4116 = 2 x 2 x 3 x 7 x 7 x 7

Step 2: Find the prime factorization of 4118

4118 = 2 x 29 x 71

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 4116 and 4118 is 2