Greatest Common Factor of 3098 and 3103

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 3098, 3103 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3098 and 3103 is 1.

GCF(3098,3103) = 1

GCF of 3098 and 3103

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

GCF of:
and

Greatest Common Factor of 3098 and 3103

GCF of 3098 and 3103 is 1

Prime Factorization of 3098


2 3098
1549 1549
1

Prime factors of 3098 are 2,1549. Prime factorization of 3098 in exponential form is:

3098 = 21×15491

Prime Factorization of 3103


29 3103
107 107
1

Prime factors of 3103 are 29,107. Prime factorization of 3103 in exponential form is:

3103 = 291×1071

∴ So by taking common prime factors GCF of 3098 and 3103 is 1

Greatest Common Factor of 3098 and 3103 by matching factors method

Factors of 3098

List of positive integer factors of 3098 that divides 3098 without a remainder.

1,2,1549,3098

Factors of 3103

List of positive integer factors of 3103 that divides 3103 without a remainder.

1,29,107,3103

Greatest Common Factor

We found the factors and prime factorization of 3098 and 3103. The biggest common factor number is the GCF number.
So the greatest common factor 3098 and 3103 is 1.

Also check out the Least Common Multiple of 3098 and 3103

Properties of GCF 3098 and 3103

(i) The GCF of 3098 and 3103 is associative

GCF of 3098 and 3103 = GCF of 3103 and 3098

Related Greatest Common Factor of 3098

Related Greatest Common Factor of 3103

Frequently Asked Questions on GCF of 3098 and 3103

1. What is the GCF of 3098 and 3103?

Answer: GCF of 3098 and 3103 is 1.

2. What are the Factors of 3098?

Answer: Factors of 3098 are 1, 2, 1549, 3098. There are 4 integers that are factors of 3098. The greatest factor of 3098 is 3098.

3. What are the Factors of 3103?

Answer: Factors of 3103 are 1, 29, 107, 3103. There are 4 integers that are factors of 3103. The greatest factor of 3103 is 3103.

4. How to Find the GCF of 3098 and 3103?

Answer:

Greatest Common Factor of 3098 and 3103 = 1

Step 1: Find the prime factorization of 3098

3098 = 2 x 1549

Step 2: Find the prime factorization of 3103

3103 = 29 x 107

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 3098 and 3103 is 1