Greatest Common Factor of 6320 and 6325

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 6320, 6325 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6320 and 6325 is 5.

GCF(6320,6325) = 5

GCF of 6320 and 6325

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

GCF of:
and

Greatest Common Factor of 6320 and 6325

GCF of 6320 and 6325 is 5

Prime Factorization of 6320


2 6320
2 3160
2 1580
2 790
5 395
79 79
1

Prime factors of 6320 are 2,5,79. Prime factorization of 6320 in exponential form is:

6320 = 24×51×791

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

∴ So by taking common prime factors GCF of 6320 and 6325 is 5

Greatest Common Factor of 6320 and 6325 by matching factors method

Factors of 6320

List of positive integer factors of 6320 that divides 6320 without a remainder.

1,2,4,5,8,10,16,20,40,79,80,158,316,395,632,790,1264,1580,3160,6320

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

Greatest Common Factor

We found the factors and prime factorization of 6320 and 6325. The biggest common factor number is the GCF number.
So the greatest common factor 6320 and 6325 is 5.

Also check out the Least Common Multiple of 6320 and 6325

Properties of GCF 6320 and 6325

(i) The GCF of 6320 and 6325 is associative

GCF of 6320 and 6325 = GCF of 6325 and 6320

Related Greatest Common Factor of 6320

Related Greatest Common Factor of 6325

Frequently Asked Questions on GCF of 6320 and 6325

1. What is the GCF of 6320 and 6325?

Answer: GCF of 6320 and 6325 is 5.

2. What are the Factors of 6320?

Answer: Factors of 6320 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 79, 80, 158, 316, 395, 632, 790, 1264, 1580, 3160, 6320. There are 20 integers that are factors of 6320. The greatest factor of 6320 is 6320.

3. 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.

4. How to Find the GCF of 6320 and 6325?

Answer:

Greatest Common Factor of 6320 and 6325 = 5

Step 1: Find the prime factorization of 6320

6320 = 2 x 2 x 2 x 2 x 5 x 79

Step 2: Find the prime factorization of 6325

6325 = 5 x 5 x 11 x 23

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 6320 and 6325 is 5