Greatest Common Factor of 1098 and 1103

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, 1103 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1098 and 1103 is 1.

GCF(1098,1103) = 1

GCF of 1098 and 1103

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

GCF of:
and

Greatest Common Factor of 1098 and 1103

GCF of 1098 and 1103 is 1

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 1103


1103 1103
1

Prime factors of 1103 are 1103. Prime factorization of 1103 in exponential form is:

1103 = 11031

∴ So by taking common prime factors GCF of 1098 and 1103 is 1

Greatest Common Factor of 1098 and 1103 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 1103

List of positive integer factors of 1103 that divides 1103 without a remainder.

1,1103

Greatest Common Factor

We found the factors and prime factorization of 1098 and 1103. The biggest common factor number is the GCF number.
So the greatest common factor 1098 and 1103 is 1.

Also check out the Least Common Multiple of 1098 and 1103

Properties of GCF 1098 and 1103

(i) The GCF of 1098 and 1103 is associative

GCF of 1098 and 1103 = GCF of 1103 and 1098

Related Greatest Common Factor of 1098

Related Greatest Common Factor of 1103

Frequently Asked Questions on GCF of 1098 and 1103

1. What is the GCF of 1098 and 1103?

Answer: GCF of 1098 and 1103 is 1.

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 1103?

Answer: Factors of 1103 are 1, 1103. There are 2 integers that are factors of 1103. The greatest factor of 1103 is 1103.

4. How to Find the GCF of 1098 and 1103?

Answer:

Greatest Common Factor of 1098 and 1103 = 1

Step 1: Find the prime factorization of 1098

1098 = 2 x 3 x 3 x 61

Step 2: Find the prime factorization of 1103

1103 = 1103

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 1098 and 1103 is 1