Greatest Common Factor of 2692 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 2692, 2698 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2692 and 2698 is 2.

GCF(2692,2698) = 2

GCF of 2692 and 2698

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

GCF of:
and

Greatest Common Factor of 2692 and 2698

GCF of 2692 and 2698 is 2

Prime Factorization of 2692


2 2692
2 1346
673 673
1

Prime factors of 2692 are 2,673. Prime factorization of 2692 in exponential form is:

2692 = 22×6731

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

∴ So by taking common prime factors GCF of 2692 and 2698 is 2

Greatest Common Factor of 2692 and 2698 by matching factors method

Factors of 2692

List of positive integer factors of 2692 that divides 2692 without a remainder.

1,2,4,673,1346,2692

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 2692 and 2698. The biggest common factor number is the GCF number.
So the greatest common factor 2692 and 2698 is 2.

Also check out the Least Common Multiple of 2692 and 2698

Properties of GCF 2692 and 2698

(i) The GCF of 2692 and 2698 is associative

GCF of 2692 and 2698 = GCF of 2698 and 2692

Related Greatest Common Factor of 2692

Related Greatest Common Factor of 2698

Frequently Asked Questions on GCF of 2692 and 2698

1. What is the GCF of 2692 and 2698?

Answer: GCF of 2692 and 2698 is 2.

2. What are the Factors of 2692?

Answer: Factors of 2692 are 1, 2, 4, 673, 1346, 2692. There are 6 integers that are factors of 2692. The greatest factor of 2692 is 2692.

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 2692 and 2698?

Answer:

Greatest Common Factor of 2692 and 2698 = 2

Step 1: Find the prime factorization of 2692

2692 = 2 x 2 x 673

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 = 2

Step 4: Therefore, the greatest common factor of 2692 and 2698 is 2