Greatest Common Factor of 2682 and 2688

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 2682, 2688 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2682 and 2688 is 6.

GCF(2682,2688) = 6

GCF of 2682 and 2688

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

GCF of:
and

Greatest Common Factor of 2682 and 2688

GCF of 2682 and 2688 is 6

Prime Factorization of 2682


2 2682
3 1341
3 447
149 149
1

Prime factors of 2682 are 2,3,149. Prime factorization of 2682 in exponential form is:

2682 = 21×32×1491

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

∴ So by taking common prime factors GCF of 2682 and 2688 is 6

Greatest Common Factor of 2682 and 2688 by matching factors method

Factors of 2682

List of positive integer factors of 2682 that divides 2682 without a remainder.

1,2,3,6,9,18,149,298,447,894,1341,2682

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

Greatest Common Factor

We found the factors and prime factorization of 2682 and 2688. The biggest common factor number is the GCF number.
So the greatest common factor 2682 and 2688 is 6.

Also check out the Least Common Multiple of 2682 and 2688

Properties of GCF 2682 and 2688

(i) The GCF of 2682 and 2688 is associative

GCF of 2682 and 2688 = GCF of 2688 and 2682

Related Greatest Common Factor of 2682

Related Greatest Common Factor of 2688

Frequently Asked Questions on GCF of 2682 and 2688

1. What is the GCF of 2682 and 2688?

Answer: GCF of 2682 and 2688 is 6.

2. What are the Factors of 2682?

Answer: Factors of 2682 are 1, 2, 3, 6, 9, 18, 149, 298, 447, 894, 1341, 2682. There are 12 integers that are factors of 2682. The greatest factor of 2682 is 2682.

3. 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.

4. How to Find the GCF of 2682 and 2688?

Answer:

Greatest Common Factor of 2682 and 2688 = 6

Step 1: Find the prime factorization of 2682

2682 = 2 x 3 x 3 x 149

Step 2: 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 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 2682 and 2688 is 6