Greatest Common Factor of 1108 and 1114

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, 1114 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1108 and 1114 is 2.

GCF(1108,1114) = 2

GCF of 1108 and 1114

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

GCF of:
and

Greatest Common Factor of 1108 and 1114

GCF of 1108 and 1114 is 2

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 1114


2 1114
557 557
1

Prime factors of 1114 are 2,557. Prime factorization of 1114 in exponential form is:

1114 = 21×5571

∴ So by taking common prime factors GCF of 1108 and 1114 is 2

Greatest Common Factor of 1108 and 1114 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 1114

List of positive integer factors of 1114 that divides 1114 without a remainder.

1,2,557,1114

Greatest Common Factor

We found the factors and prime factorization of 1108 and 1114. The biggest common factor number is the GCF number.
So the greatest common factor 1108 and 1114 is 2.

Also check out the Least Common Multiple of 1108 and 1114

Properties of GCF 1108 and 1114

(i) The GCF of 1108 and 1114 is associative

GCF of 1108 and 1114 = GCF of 1114 and 1108

Related Greatest Common Factor of 1108

Related Greatest Common Factor of 1114

Frequently Asked Questions on GCF of 1108 and 1114

1. What is the GCF of 1108 and 1114?

Answer: GCF of 1108 and 1114 is 2.

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 1114?

Answer: Factors of 1114 are 1, 2, 557, 1114. There are 4 integers that are factors of 1114. The greatest factor of 1114 is 1114.

4. How to Find the GCF of 1108 and 1114?

Answer:

Greatest Common Factor of 1108 and 1114 = 2

Step 1: Find the prime factorization of 1108

1108 = 2 x 2 x 277

Step 2: Find the prime factorization of 1114

1114 = 2 x 557

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 1108 and 1114 is 2