Greatest Common Factor of 1108 and 1113

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, 1113 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1108 and 1113 is 1.

GCF(1108,1113) = 1

GCF of 1108 and 1113

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

GCF of:
and

Greatest Common Factor of 1108 and 1113

GCF of 1108 and 1113 is 1

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 1113


3 1113
7 371
53 53
1

Prime factors of 1113 are 3,7,53. Prime factorization of 1113 in exponential form is:

1113 = 31×71×531

∴ So by taking common prime factors GCF of 1108 and 1113 is 1

Greatest Common Factor of 1108 and 1113 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 1113

List of positive integer factors of 1113 that divides 1113 without a remainder.

1,3,7,21,53,159,371,1113

Greatest Common Factor

We found the factors and prime factorization of 1108 and 1113. The biggest common factor number is the GCF number.
So the greatest common factor 1108 and 1113 is 1.

Also check out the Least Common Multiple of 1108 and 1113

Properties of GCF 1108 and 1113

(i) The GCF of 1108 and 1113 is associative

GCF of 1108 and 1113 = GCF of 1113 and 1108

Related Greatest Common Factor of 1108

Related Greatest Common Factor of 1113

Frequently Asked Questions on GCF of 1108 and 1113

1. What is the GCF of 1108 and 1113?

Answer: GCF of 1108 and 1113 is 1.

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 1113?

Answer: Factors of 1113 are 1, 3, 7, 21, 53, 159, 371, 1113. There are 8 integers that are factors of 1113. The greatest factor of 1113 is 1113.

4. How to Find the GCF of 1108 and 1113?

Answer:

Greatest Common Factor of 1108 and 1113 = 1

Step 1: Find the prime factorization of 1108

1108 = 2 x 2 x 277

Step 2: Find the prime factorization of 1113

1113 = 3 x 7 x 53

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1108 and 1113 is 1