Greatest Common Factor of 2693 and 2698

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 2693, 2698 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2693 and 2698 is 1.

GCF(2693,2698) = 1

GCF of 2693 and 2698

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

GCF of:
and

Greatest Common Factor of 2693 and 2698

GCF of 2693 and 2698 is 1

Prime Factorization of 2693


2693 2693
1

Prime factors of 2693 are 2693. Prime factorization of 2693 in exponential form is:

2693 = 26931

Prime Factorization of 2698


2 2698
19 1349
71 71
1

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

2698 = 21×191×711

∴ So by taking common prime factors GCF of 2693 and 2698 is 1

Greatest Common Factor of 2693 and 2698 by matching factors method

Factors of 2693

List of positive integer factors of 2693 that divides 2693 without a remainder.

1,2693

Factors of 2698

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

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

Greatest Common Factor

We found the factors and prime factorization of 2693 and 2698. The biggest common factor number is the GCF number.
So the greatest common factor 2693 and 2698 is 1.

Also check out the Least Common Multiple of 2693 and 2698

Properties of GCF 2693 and 2698

(i) The GCF of 2693 and 2698 is associative

GCF of 2693 and 2698 = GCF of 2698 and 2693

Related Greatest Common Factor of 2693

Related Greatest Common Factor of 2698

Frequently Asked Questions on GCF of 2693 and 2698

1. What is the GCF of 2693 and 2698?

Answer: GCF of 2693 and 2698 is 1.

2. What are the Factors of 2693?

Answer: Factors of 2693 are 1, 2693. There are 2 integers that are factors of 2693. The greatest factor of 2693 is 2693.

3. 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.

4. How to Find the GCF of 2693 and 2698?

Answer:

Greatest Common Factor of 2693 and 2698 = 1

Step 1: Find the prime factorization of 2693

2693 = 2693

Step 2: Find the prime factorization of 2698

2698 = 2 x 19 x 71

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 2693 and 2698 is 1