Greatest Common Factor of 2688 and 2689

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 2688, 2689 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2688 and 2689 is 1.

GCF(2688,2689) = 1

GCF of 2688 and 2689

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

GCF of:
and

Greatest Common Factor of 2688 and 2689

GCF of 2688 and 2689 is 1

Prime Factorization of 2688


2 2688
2 1344
2 672
2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 2688 are 2,3,7. Prime factorization of 2688 in exponential form is:

2688 = 27×31×71

Prime Factorization of 2689


2689 2689
1

Prime factors of 2689 are 2689. Prime factorization of 2689 in exponential form is:

2689 = 26891

∴ So by taking common prime factors GCF of 2688 and 2689 is 1

Greatest Common Factor of 2688 and 2689 by matching factors method

Factors of 2688

List of positive integer factors of 2688 that divides 2688 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,128,168,192,224,336,384,448,672,896,1344,2688

Factors of 2689

List of positive integer factors of 2689 that divides 2689 without a remainder.

1,2689

Greatest Common Factor

We found the factors and prime factorization of 2688 and 2689. The biggest common factor number is the GCF number.
So the greatest common factor 2688 and 2689 is 1.

Also check out the Least Common Multiple of 2688 and 2689

Properties of GCF 2688 and 2689

(i) The GCF of 2688 and 2689 is associative

GCF of 2688 and 2689 = GCF of 2689 and 2688

Related Greatest Common Factor of 2688

Related Greatest Common Factor of 2689

Frequently Asked Questions on GCF of 2688 and 2689

1. What is the GCF of 2688 and 2689?

Answer: GCF of 2688 and 2689 is 1.

2. What are the Factors of 2688?

Answer: Factors of 2688 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 336, 384, 448, 672, 896, 1344, 2688. There are 32 integers that are factors of 2688. The greatest factor of 2688 is 2688.

3. What are the Factors of 2689?

Answer: Factors of 2689 are 1, 2689. There are 2 integers that are factors of 2689. The greatest factor of 2689 is 2689.

4. How to Find the GCF of 2688 and 2689?

Answer:

Greatest Common Factor of 2688 and 2689 = 1

Step 1: Find the prime factorization of 2688

2688 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7

Step 2: Find the prime factorization of 2689

2689 = 2689

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 2688 and 2689 is 1