Greatest Common Factor of 6325 and 6330

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 6325, 6330 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6325 and 6330 is 5.

GCF(6325,6330) = 5

GCF of 6325 and 6330

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

GCF of:
and

Greatest Common Factor of 6325 and 6330

GCF of 6325 and 6330 is 5

Prime Factorization of 6325


5 6325
5 1265
11 253
23 23
1

Prime factors of 6325 are 5,11,23. Prime factorization of 6325 in exponential form is:

6325 = 52×111×231

Prime Factorization of 6330


2 6330
3 3165
5 1055
211 211
1

Prime factors of 6330 are 2,3,5,211. Prime factorization of 6330 in exponential form is:

6330 = 21×31×51×2111

∴ So by taking common prime factors GCF of 6325 and 6330 is 5

Greatest Common Factor of 6325 and 6330 by matching factors method

Factors of 6325

List of positive integer factors of 6325 that divides 6325 without a remainder.

1,5,11,23,25,55,115,253,275,575,1265,6325

Factors of 6330

List of positive integer factors of 6330 that divides 6330 without a remainder.

1,2,3,5,6,10,15,30,211,422,633,1055,1266,2110,3165,6330

Greatest Common Factor

We found the factors and prime factorization of 6325 and 6330. The biggest common factor number is the GCF number.
So the greatest common factor 6325 and 6330 is 5.

Also check out the Least Common Multiple of 6325 and 6330

Properties of GCF 6325 and 6330

(i) The GCF of 6325 and 6330 is associative

GCF of 6325 and 6330 = GCF of 6330 and 6325

Related Greatest Common Factor of 6325

Related Greatest Common Factor of 6330

Frequently Asked Questions on GCF of 6325 and 6330

1. What is the GCF of 6325 and 6330?

Answer: GCF of 6325 and 6330 is 5.

2. What are the Factors of 6325?

Answer: Factors of 6325 are 1, 5, 11, 23, 25, 55, 115, 253, 275, 575, 1265, 6325. There are 12 integers that are factors of 6325. The greatest factor of 6325 is 6325.

3. What are the Factors of 6330?

Answer: Factors of 6330 are 1, 2, 3, 5, 6, 10, 15, 30, 211, 422, 633, 1055, 1266, 2110, 3165, 6330. There are 16 integers that are factors of 6330. The greatest factor of 6330 is 6330.

4. How to Find the GCF of 6325 and 6330?

Answer:

Greatest Common Factor of 6325 and 6330 = 5

Step 1: Find the prime factorization of 6325

6325 = 5 x 5 x 11 x 23

Step 2: Find the prime factorization of 6330

6330 = 2 x 3 x 5 x 211

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 6325 and 6330 is 5