Greatest Common Factor of 1102 and 1108

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 1102, 1108 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1102 and 1108 is 2.

GCF(1102,1108) = 2

GCF of 1102 and 1108

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

GCF of:
and

Greatest Common Factor of 1102 and 1108

GCF of 1102 and 1108 is 2

Prime Factorization of 1102


2 1102
19 551
29 29
1

Prime factors of 1102 are 2,19,29. Prime factorization of 1102 in exponential form is:

1102 = 21×191×291

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

∴ So by taking common prime factors GCF of 1102 and 1108 is 2

Greatest Common Factor of 1102 and 1108 by matching factors method

Factors of 1102

List of positive integer factors of 1102 that divides 1102 without a remainder.

1,2,19,29,38,58,551,1102

Factors of 1108

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

1,2,4,277,554,1108

Greatest Common Factor

We found the factors and prime factorization of 1102 and 1108. The biggest common factor number is the GCF number.
So the greatest common factor 1102 and 1108 is 2.

Also check out the Least Common Multiple of 1102 and 1108

Properties of GCF 1102 and 1108

(i) The GCF of 1102 and 1108 is associative

GCF of 1102 and 1108 = GCF of 1108 and 1102

Related Greatest Common Factor of 1102

Related Greatest Common Factor of 1108

Frequently Asked Questions on GCF of 1102 and 1108

1. What is the GCF of 1102 and 1108?

Answer: GCF of 1102 and 1108 is 2.

2. What are the Factors of 1102?

Answer: Factors of 1102 are 1, 2, 19, 29, 38, 58, 551, 1102. There are 8 integers that are factors of 1102. The greatest factor of 1102 is 1102.

3. 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.

4. How to Find the GCF of 1102 and 1108?

Answer:

Greatest Common Factor of 1102 and 1108 = 2

Step 1: Find the prime factorization of 1102

1102 = 2 x 19 x 29

Step 2: Find the prime factorization of 1108

1108 = 2 x 2 x 277

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 1102 and 1108 is 2