Greatest Common Factor of 6615 and 6622

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 6615, 6622 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6615 and 6622 is 7.

GCF(6615,6622) = 7

GCF of 6615 and 6622

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

GCF of:
and

Greatest Common Factor of 6615 and 6622

GCF of 6615 and 6622 is 7

Prime Factorization of 6615


3 6615
3 2205
3 735
5 245
7 49
7 7
1

Prime factors of 6615 are 3,5,7. Prime factorization of 6615 in exponential form is:

6615 = 33×51×72

Prime Factorization of 6622


2 6622
7 3311
11 473
43 43
1

Prime factors of 6622 are 2,7,11,43. Prime factorization of 6622 in exponential form is:

6622 = 21×71×111×431

∴ So by taking common prime factors GCF of 6615 and 6622 is 7

Greatest Common Factor of 6615 and 6622 by matching factors method

Factors of 6615

List of positive integer factors of 6615 that divides 6615 without a remainder.

1,3,5,7,9,15,21,27,35,45,49,63,105,135,147,189,245,315,441,735,945,1323,2205,6615

Factors of 6622

List of positive integer factors of 6622 that divides 6622 without a remainder.

1,2,7,11,14,22,43,77,86,154,301,473,602,946,3311,6622

Greatest Common Factor

We found the factors and prime factorization of 6615 and 6622. The biggest common factor number is the GCF number.
So the greatest common factor 6615 and 6622 is 7.

Also check out the Least Common Multiple of 6615 and 6622

Properties of GCF 6615 and 6622

(i) The GCF of 6615 and 6622 is associative

GCF of 6615 and 6622 = GCF of 6622 and 6615

Related Greatest Common Factor of 6615

Related Greatest Common Factor of 6622

Frequently Asked Questions on GCF of 6615 and 6622

1. What is the GCF of 6615 and 6622?

Answer: GCF of 6615 and 6622 is 7.

2. What are the Factors of 6615?

Answer: Factors of 6615 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 105, 135, 147, 189, 245, 315, 441, 735, 945, 1323, 2205, 6615. There are 24 integers that are factors of 6615. The greatest factor of 6615 is 6615.

3. What are the Factors of 6622?

Answer: Factors of 6622 are 1, 2, 7, 11, 14, 22, 43, 77, 86, 154, 301, 473, 602, 946, 3311, 6622. There are 16 integers that are factors of 6622. The greatest factor of 6622 is 6622.

4. How to Find the GCF of 6615 and 6622?

Answer:

Greatest Common Factor of 6615 and 6622 = 7

Step 1: Find the prime factorization of 6615

6615 = 3 x 3 x 3 x 5 x 7 x 7

Step 2: Find the prime factorization of 6622

6622 = 2 x 7 x 11 x 43

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

GCF = 7

Step 4: Therefore, the greatest common factor of 6615 and 6622 is 7