Greatest Common Factor of 1096 and 1102

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 1096, 1102 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1096 and 1102 is 2.

GCF(1096,1102) = 2

GCF of 1096 and 1102

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

GCF of:
and

Greatest Common Factor of 1096 and 1102

GCF of 1096 and 1102 is 2

Prime Factorization of 1096


2 1096
2 548
2 274
137 137
1

Prime factors of 1096 are 2,137. Prime factorization of 1096 in exponential form is:

1096 = 23×1371

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

∴ So by taking common prime factors GCF of 1096 and 1102 is 2

Greatest Common Factor of 1096 and 1102 by matching factors method

Factors of 1096

List of positive integer factors of 1096 that divides 1096 without a remainder.

1,2,4,8,137,274,548,1096

Factors of 1102

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

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

Greatest Common Factor

We found the factors and prime factorization of 1096 and 1102. The biggest common factor number is the GCF number.
So the greatest common factor 1096 and 1102 is 2.

Also check out the Least Common Multiple of 1096 and 1102

Properties of GCF 1096 and 1102

(i) The GCF of 1096 and 1102 is associative

GCF of 1096 and 1102 = GCF of 1102 and 1096

Related Greatest Common Factor of 1096

Related Greatest Common Factor of 1102

Frequently Asked Questions on GCF of 1096 and 1102

1. What is the GCF of 1096 and 1102?

Answer: GCF of 1096 and 1102 is 2.

2. What are the Factors of 1096?

Answer: Factors of 1096 are 1, 2, 4, 8, 137, 274, 548, 1096. There are 8 integers that are factors of 1096. The greatest factor of 1096 is 1096.

3. 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.

4. How to Find the GCF of 1096 and 1102?

Answer:

Greatest Common Factor of 1096 and 1102 = 2

Step 1: Find the prime factorization of 1096

1096 = 2 x 2 x 2 x 137

Step 2: Find the prime factorization of 1102

1102 = 2 x 19 x 29

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 1096 and 1102 is 2