Greatest Common Factor of 6300 and 6306

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 6300, 6306 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6300 and 6306 is 6.

GCF(6300,6306) = 6

GCF of 6300 and 6306

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

GCF of:
and

Greatest Common Factor of 6300 and 6306

GCF of 6300 and 6306 is 6

Prime Factorization of 6300


2 6300
2 3150
3 1575
3 525
5 175
5 35
7 7
1

Prime factors of 6300 are 2,3,5,7. Prime factorization of 6300 in exponential form is:

6300 = 22×32×52×71

Prime Factorization of 6306


2 6306
3 3153
1051 1051
1

Prime factors of 6306 are 2,3,1051. Prime factorization of 6306 in exponential form is:

6306 = 21×31×10511

∴ So by taking common prime factors GCF of 6300 and 6306 is 6

Greatest Common Factor of 6300 and 6306 by matching factors method

Factors of 6300

List of positive integer factors of 6300 that divides 6300 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,25,28,30,35,36,42,45,50,60,63,70,75,84,90,100,105,126,140,150,175,180,210,225,252,300,315,350,420,450,525,630,700,900,1050,1260,1575,2100,3150,6300

Factors of 6306

List of positive integer factors of 6306 that divides 6306 without a remainder.

1,2,3,6,1051,2102,3153,6306

Greatest Common Factor

We found the factors and prime factorization of 6300 and 6306. The biggest common factor number is the GCF number.
So the greatest common factor 6300 and 6306 is 6.

Also check out the Least Common Multiple of 6300 and 6306

Properties of GCF 6300 and 6306

(i) The GCF of 6300 and 6306 is associative

GCF of 6300 and 6306 = GCF of 6306 and 6300

Related Greatest Common Factor of 6300

Related Greatest Common Factor of 6306

Frequently Asked Questions on GCF of 6300 and 6306

1. What is the GCF of 6300 and 6306?

Answer: GCF of 6300 and 6306 is 6.

2. What are the Factors of 6300?

Answer: Factors of 6300 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 126, 140, 150, 175, 180, 210, 225, 252, 300, 315, 350, 420, 450, 525, 630, 700, 900, 1050, 1260, 1575, 2100, 3150, 6300. There are 54 integers that are factors of 6300. The greatest factor of 6300 is 6300.

3. What are the Factors of 6306?

Answer: Factors of 6306 are 1, 2, 3, 6, 1051, 2102, 3153, 6306. There are 8 integers that are factors of 6306. The greatest factor of 6306 is 6306.

4. How to Find the GCF of 6300 and 6306?

Answer:

Greatest Common Factor of 6300 and 6306 = 6

Step 1: Find the prime factorization of 6300

6300 = 2 x 2 x 3 x 3 x 5 x 5 x 7

Step 2: Find the prime factorization of 6306

6306 = 2 x 3 x 1051

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 6300 and 6306 is 6