Greatest Common Factor of 6630 and 6635

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 6630, 6635 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6630 and 6635 is 5.

GCF(6630,6635) = 5

GCF of 6630 and 6635

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

GCF of:
and

Greatest Common Factor of 6630 and 6635

GCF of 6630 and 6635 is 5

Prime Factorization of 6630


2 6630
3 3315
5 1105
13 221
17 17
1

Prime factors of 6630 are 2,3,5,13,17. Prime factorization of 6630 in exponential form is:

6630 = 21×31×51×131×171

Prime Factorization of 6635


5 6635
1327 1327
1

Prime factors of 6635 are 5,1327. Prime factorization of 6635 in exponential form is:

6635 = 51×13271

∴ So by taking common prime factors GCF of 6630 and 6635 is 5

Greatest Common Factor of 6630 and 6635 by matching factors method

Factors of 6630

List of positive integer factors of 6630 that divides 6630 without a remainder.

1,2,3,5,6,10,13,15,17,26,30,34,39,51,65,78,85,102,130,170,195,221,255,390,442,510,663,1105,1326,2210,3315,6630

Factors of 6635

List of positive integer factors of 6635 that divides 6635 without a remainder.

1,5,1327,6635

Greatest Common Factor

We found the factors and prime factorization of 6630 and 6635. The biggest common factor number is the GCF number.
So the greatest common factor 6630 and 6635 is 5.

Also check out the Least Common Multiple of 6630 and 6635

Properties of GCF 6630 and 6635

(i) The GCF of 6630 and 6635 is associative

GCF of 6630 and 6635 = GCF of 6635 and 6630

Related Greatest Common Factor of 6630

Related Greatest Common Factor of 6635

Frequently Asked Questions on GCF of 6630 and 6635

1. What is the GCF of 6630 and 6635?

Answer: GCF of 6630 and 6635 is 5.

2. What are the Factors of 6630?

Answer: Factors of 6630 are 1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 34, 39, 51, 65, 78, 85, 102, 130, 170, 195, 221, 255, 390, 442, 510, 663, 1105, 1326, 2210, 3315, 6630. There are 32 integers that are factors of 6630. The greatest factor of 6630 is 6630.

3. What are the Factors of 6635?

Answer: Factors of 6635 are 1, 5, 1327, 6635. There are 4 integers that are factors of 6635. The greatest factor of 6635 is 6635.

4. How to Find the GCF of 6630 and 6635?

Answer:

Greatest Common Factor of 6630 and 6635 = 5

Step 1: Find the prime factorization of 6630

6630 = 2 x 3 x 5 x 13 x 17

Step 2: Find the prime factorization of 6635

6635 = 5 x 1327

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

GCF = 5

Step 4: Therefore, the greatest common factor of 6630 and 6635 is 5