Greatest Common Factor of 2698 and 2700

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, 2700 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2698 and 2700 is 2.

GCF(2698,2700) = 2

GCF of 2698 and 2700

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

GCF of:
and

Greatest Common Factor of 2698 and 2700

GCF of 2698 and 2700 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 2700


2 2700
2 1350
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 2700 are 2,3,5. Prime factorization of 2700 in exponential form is:

2700 = 22×33×52

∴ So by taking common prime factors GCF of 2698 and 2700 is 2

Greatest Common Factor of 2698 and 2700 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 2700

List of positive integer factors of 2700 that divides 2700 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,90,100,108,135,150,180,225,270,300,450,540,675,900,1350,2700

Greatest Common Factor

We found the factors and prime factorization of 2698 and 2700. The biggest common factor number is the GCF number.
So the greatest common factor 2698 and 2700 is 2.

Also check out the Least Common Multiple of 2698 and 2700

Properties of GCF 2698 and 2700

(i) The GCF of 2698 and 2700 is associative

GCF of 2698 and 2700 = GCF of 2700 and 2698

Related Greatest Common Factor of 2698

Related Greatest Common Factor of 2700

Frequently Asked Questions on GCF of 2698 and 2700

1. What is the GCF of 2698 and 2700?

Answer: GCF of 2698 and 2700 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 2700?

Answer: Factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700. There are 36 integers that are factors of 2700. The greatest factor of 2700 is 2700.

4. How to Find the GCF of 2698 and 2700?

Answer:

Greatest Common Factor of 2698 and 2700 = 2

Step 1: Find the prime factorization of 2698

2698 = 2 x 19 x 71

Step 2: Find the prime factorization of 2700

2700 = 2 x 2 x 3 x 3 x 3 x 5 x 5

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 2700 is 2