Greatest Common Factor of 1108 and 1116

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 1108, 1116 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1108 and 1116 is 4.

GCF(1108,1116) = 4

GCF of 1108 and 1116

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

GCF of:
and

Greatest Common Factor of 1108 and 1116

GCF of 1108 and 1116 is 4

Prime Factorization of 1108


2 1108
2 554
277 277
1

Prime factors of 1108 are 2,277. Prime factorization of 1108 in exponential form is:

1108 = 22×2771

Prime Factorization of 1116


2 1116
2 558
3 279
3 93
31 31
1

Prime factors of 1116 are 2,3,31. Prime factorization of 1116 in exponential form is:

1116 = 22×32×311

∴ So by taking common prime factors GCF of 1108 and 1116 is 4

Greatest Common Factor of 1108 and 1116 by matching factors method

Factors of 1108

List of positive integer factors of 1108 that divides 1108 without a remainder.

1,2,4,277,554,1108

Factors of 1116

List of positive integer factors of 1116 that divides 1116 without a remainder.

1,2,3,4,6,9,12,18,31,36,62,93,124,186,279,372,558,1116

Greatest Common Factor

We found the factors and prime factorization of 1108 and 1116. The biggest common factor number is the GCF number.
So the greatest common factor 1108 and 1116 is 4.

Also check out the Least Common Multiple of 1108 and 1116

Properties of GCF 1108 and 1116

(i) The GCF of 1108 and 1116 is associative

GCF of 1108 and 1116 = GCF of 1116 and 1108

Related Greatest Common Factor of 1108

Related Greatest Common Factor of 1116

Frequently Asked Questions on GCF of 1108 and 1116

1. What is the GCF of 1108 and 1116?

Answer: GCF of 1108 and 1116 is 4.

2. What are the Factors of 1108?

Answer: Factors of 1108 are 1, 2, 4, 277, 554, 1108. There are 6 integers that are factors of 1108. The greatest factor of 1108 is 1108.

3. What are the Factors of 1116?

Answer: Factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116. There are 18 integers that are factors of 1116. The greatest factor of 1116 is 1116.

4. How to Find the GCF of 1108 and 1116?

Answer:

Greatest Common Factor of 1108 and 1116 = 4

Step 1: Find the prime factorization of 1108

1108 = 2 x 2 x 277

Step 2: Find the prime factorization of 1116

1116 = 2 x 2 x 3 x 3 x 31

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1108 and 1116 is 4