Greatest Common Factor of 2688 and 2692

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, 2692 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2688 and 2692 is 4.

GCF(2688,2692) = 4

GCF of 2688 and 2692

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

GCF of:
and

Greatest Common Factor of 2688 and 2692

GCF of 2688 and 2692 is 4

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 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

∴ So by taking common prime factors GCF of 2688 and 2692 is 4

Greatest Common Factor of 2688 and 2692 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 2692

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

1,2,4,673,1346,2692

Greatest Common Factor

We found the factors and prime factorization of 2688 and 2692. The biggest common factor number is the GCF number.
So the greatest common factor 2688 and 2692 is 4.

Also check out the Least Common Multiple of 2688 and 2692

Properties of GCF 2688 and 2692

(i) The GCF of 2688 and 2692 is associative

GCF of 2688 and 2692 = GCF of 2692 and 2688

Related Greatest Common Factor of 2688

Related Greatest Common Factor of 2692

Frequently Asked Questions on GCF of 2688 and 2692

1. What is the GCF of 2688 and 2692?

Answer: GCF of 2688 and 2692 is 4.

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 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.

4. How to Find the GCF of 2688 and 2692?

Answer:

Greatest Common Factor of 2688 and 2692 = 4

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 2692

2692 = 2 x 2 x 673

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2688 and 2692 is 4