Greatest Common Factor of 1098 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 1098, 1102 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1098 and 1102 is 2.

GCF(1098,1102) = 2

GCF of 1098 and 1102

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

GCF of:
and

Greatest Common Factor of 1098 and 1102

GCF of 1098 and 1102 is 2

Prime Factorization of 1098


2 1098
3 549
3 183
61 61
1

Prime factors of 1098 are 2,3,61. Prime factorization of 1098 in exponential form is:

1098 = 21×32×611

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 1098 and 1102 is 2

Greatest Common Factor of 1098 and 1102 by matching factors method

Factors of 1098

List of positive integer factors of 1098 that divides 1098 without a remainder.

1,2,3,6,9,18,61,122,183,366,549,1098

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 1098 and 1102. The biggest common factor number is the GCF number.
So the greatest common factor 1098 and 1102 is 2.

Also check out the Least Common Multiple of 1098 and 1102

Properties of GCF 1098 and 1102

(i) The GCF of 1098 and 1102 is associative

GCF of 1098 and 1102 = GCF of 1102 and 1098

Related Greatest Common Factor of 1098

Related Greatest Common Factor of 1102

Frequently Asked Questions on GCF of 1098 and 1102

1. What is the GCF of 1098 and 1102?

Answer: GCF of 1098 and 1102 is 2.

2. What are the Factors of 1098?

Answer: Factors of 1098 are 1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098. There are 12 integers that are factors of 1098. The greatest factor of 1098 is 1098.

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 1098 and 1102?

Answer:

Greatest Common Factor of 1098 and 1102 = 2

Step 1: Find the prime factorization of 1098

1098 = 2 x 3 x 3 x 61

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 1098 and 1102 is 2