Greatest Common Factor of 2688 and 2694

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, 2694 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2688 and 2694 is 6.

GCF(2688,2694) = 6

GCF of 2688 and 2694

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

GCF of:
and

Greatest Common Factor of 2688 and 2694

GCF of 2688 and 2694 is 6

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 2694


2 2694
3 1347
449 449
1

Prime factors of 2694 are 2,3,449. Prime factorization of 2694 in exponential form is:

2694 = 21×31×4491

∴ So by taking common prime factors GCF of 2688 and 2694 is 6

Greatest Common Factor of 2688 and 2694 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 2694

List of positive integer factors of 2694 that divides 2694 without a remainder.

1,2,3,6,449,898,1347,2694

Greatest Common Factor

We found the factors and prime factorization of 2688 and 2694. The biggest common factor number is the GCF number.
So the greatest common factor 2688 and 2694 is 6.

Also check out the Least Common Multiple of 2688 and 2694

Properties of GCF 2688 and 2694

(i) The GCF of 2688 and 2694 is associative

GCF of 2688 and 2694 = GCF of 2694 and 2688

Related Greatest Common Factor of 2688

Related Greatest Common Factor of 2694

Frequently Asked Questions on GCF of 2688 and 2694

1. What is the GCF of 2688 and 2694?

Answer: GCF of 2688 and 2694 is 6.

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 2694?

Answer: Factors of 2694 are 1, 2, 3, 6, 449, 898, 1347, 2694. There are 8 integers that are factors of 2694. The greatest factor of 2694 is 2694.

4. How to Find the GCF of 2688 and 2694?

Answer:

Greatest Common Factor of 2688 and 2694 = 6

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 2694

2694 = 2 x 3 x 449

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2688 and 2694 is 6