Greatest Common Factor of 6690 and 6696

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 6690, 6696 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6690 and 6696 is 6.

GCF(6690,6696) = 6

GCF of 6690 and 6696

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

GCF of:
and

Greatest Common Factor of 6690 and 6696

GCF of 6690 and 6696 is 6

Prime Factorization of 6690


2 6690
3 3345
5 1115
223 223
1

Prime factors of 6690 are 2,3,5,223. Prime factorization of 6690 in exponential form is:

6690 = 21×31×51×2231

Prime Factorization of 6696


2 6696
2 3348
2 1674
3 837
3 279
3 93
31 31
1

Prime factors of 6696 are 2,3,31. Prime factorization of 6696 in exponential form is:

6696 = 23×33×311

∴ So by taking common prime factors GCF of 6690 and 6696 is 6

Greatest Common Factor of 6690 and 6696 by matching factors method

Factors of 6690

List of positive integer factors of 6690 that divides 6690 without a remainder.

1,2,3,5,6,10,15,30,223,446,669,1115,1338,2230,3345,6690

Factors of 6696

List of positive integer factors of 6696 that divides 6696 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,31,36,54,62,72,93,108,124,186,216,248,279,372,558,744,837,1116,1674,2232,3348,6696

Greatest Common Factor

We found the factors and prime factorization of 6690 and 6696. The biggest common factor number is the GCF number.
So the greatest common factor 6690 and 6696 is 6.

Also check out the Least Common Multiple of 6690 and 6696

Properties of GCF 6690 and 6696

(i) The GCF of 6690 and 6696 is associative

GCF of 6690 and 6696 = GCF of 6696 and 6690

Related Greatest Common Factor of 6690

Related Greatest Common Factor of 6696

Frequently Asked Questions on GCF of 6690 and 6696

1. What is the GCF of 6690 and 6696?

Answer: GCF of 6690 and 6696 is 6.

2. What are the Factors of 6690?

Answer: Factors of 6690 are 1, 2, 3, 5, 6, 10, 15, 30, 223, 446, 669, 1115, 1338, 2230, 3345, 6690. There are 16 integers that are factors of 6690. The greatest factor of 6690 is 6690.

3. What are the Factors of 6696?

Answer: Factors of 6696 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 93, 108, 124, 186, 216, 248, 279, 372, 558, 744, 837, 1116, 1674, 2232, 3348, 6696. There are 32 integers that are factors of 6696. The greatest factor of 6696 is 6696.

4. How to Find the GCF of 6690 and 6696?

Answer:

Greatest Common Factor of 6690 and 6696 = 6

Step 1: Find the prime factorization of 6690

6690 = 2 x 3 x 5 x 223

Step 2: Find the prime factorization of 6696

6696 = 2 x 2 x 2 x 3 x 3 x 3 x 31

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 6690 and 6696 is 6