Greatest Common Factor of 2698 and 2704

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 2698, 2704 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2698 and 2704 is 2.

GCF(2698,2704) = 2

GCF of 2698 and 2704

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

GCF of:
and

Greatest Common Factor of 2698 and 2704

GCF of 2698 and 2704 is 2

Prime Factorization of 2698


2 2698
19 1349
71 71
1

Prime factors of 2698 are 2,19,71. Prime factorization of 2698 in exponential form is:

2698 = 21×191×711

Prime Factorization of 2704


2 2704
2 1352
2 676
2 338
13 169
13 13
1

Prime factors of 2704 are 2,13. Prime factorization of 2704 in exponential form is:

2704 = 24×132

∴ So by taking common prime factors GCF of 2698 and 2704 is 2

Greatest Common Factor of 2698 and 2704 by matching factors method

Factors of 2698

List of positive integer factors of 2698 that divides 2698 without a remainder.

1,2,19,38,71,142,1349,2698

Factors of 2704

List of positive integer factors of 2704 that divides 2704 without a remainder.

1,2,4,8,13,16,26,52,104,169,208,338,676,1352,2704

Greatest Common Factor

We found the factors and prime factorization of 2698 and 2704. The biggest common factor number is the GCF number.
So the greatest common factor 2698 and 2704 is 2.

Also check out the Least Common Multiple of 2698 and 2704

Properties of GCF 2698 and 2704

(i) The GCF of 2698 and 2704 is associative

GCF of 2698 and 2704 = GCF of 2704 and 2698

Related Greatest Common Factor of 2698

Related Greatest Common Factor of 2704

Frequently Asked Questions on GCF of 2698 and 2704

1. What is the GCF of 2698 and 2704?

Answer: GCF of 2698 and 2704 is 2.

2. What are the Factors of 2698?

Answer: Factors of 2698 are 1, 2, 19, 38, 71, 142, 1349, 2698. There are 8 integers that are factors of 2698. The greatest factor of 2698 is 2698.

3. What are the Factors of 2704?

Answer: Factors of 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704. There are 15 integers that are factors of 2704. The greatest factor of 2704 is 2704.

4. How to Find the GCF of 2698 and 2704?

Answer:

Greatest Common Factor of 2698 and 2704 = 2

Step 1: Find the prime factorization of 2698

2698 = 2 x 19 x 71

Step 2: Find the prime factorization of 2704

2704 = 2 x 2 x 2 x 2 x 13 x 13

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 2698 and 2704 is 2