Greatest Common Factor of 3098 and 3100

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, 3100 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3098 and 3100 is 2.

GCF(3098,3100) = 2

GCF of 3098 and 3100

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

GCF of:
and

Greatest Common Factor of 3098 and 3100

GCF of 3098 and 3100 is 2

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 3100


2 3100
2 1550
5 775
5 155
31 31
1

Prime factors of 3100 are 2,5,31. Prime factorization of 3100 in exponential form is:

3100 = 22×52×311

∴ So by taking common prime factors GCF of 3098 and 3100 is 2

Greatest Common Factor of 3098 and 3100 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 3100

List of positive integer factors of 3100 that divides 3100 without a remainder.

1,2,4,5,10,20,25,31,50,62,100,124,155,310,620,775,1550,3100

Greatest Common Factor

We found the factors and prime factorization of 3098 and 3100. The biggest common factor number is the GCF number.
So the greatest common factor 3098 and 3100 is 2.

Also check out the Least Common Multiple of 3098 and 3100

Properties of GCF 3098 and 3100

(i) The GCF of 3098 and 3100 is associative

GCF of 3098 and 3100 = GCF of 3100 and 3098

Related Greatest Common Factor of 3098

Related Greatest Common Factor of 3100

Frequently Asked Questions on GCF of 3098 and 3100

1. What is the GCF of 3098 and 3100?

Answer: GCF of 3098 and 3100 is 2.

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 3100?

Answer: Factors of 3100 are 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550, 3100. There are 18 integers that are factors of 3100. The greatest factor of 3100 is 3100.

4. How to Find the GCF of 3098 and 3100?

Answer:

Greatest Common Factor of 3098 and 3100 = 2

Step 1: Find the prime factorization of 3098

3098 = 2 x 1549

Step 2: Find the prime factorization of 3100

3100 = 2 x 2 x 5 x 5 x 31

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 3098 and 3100 is 2