Greatest Common Factor of 6264 and 6267

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 6264, 6267 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6264 and 6267 is 3.

GCF(6264,6267) = 3

GCF of 6264 and 6267

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

GCF of:
and

Greatest Common Factor of 6264 and 6267

GCF of 6264 and 6267 is 3

Prime Factorization of 6264


2 6264
2 3132
2 1566
3 783
3 261
3 87
29 29
1

Prime factors of 6264 are 2,3,29. Prime factorization of 6264 in exponential form is:

6264 = 23×33×291

Prime Factorization of 6267


3 6267
2089 2089
1

Prime factors of 6267 are 3,2089. Prime factorization of 6267 in exponential form is:

6267 = 31×20891

∴ So by taking common prime factors GCF of 6264 and 6267 is 3

Greatest Common Factor of 6264 and 6267 by matching factors method

Factors of 6264

List of positive integer factors of 6264 that divides 6264 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,29,36,54,58,72,87,108,116,174,216,232,261,348,522,696,783,1044,1566,2088,3132,6264

Factors of 6267

List of positive integer factors of 6267 that divides 6267 without a remainder.

1,3,2089,6267

Greatest Common Factor

We found the factors and prime factorization of 6264 and 6267. The biggest common factor number is the GCF number.
So the greatest common factor 6264 and 6267 is 3.

Also check out the Least Common Multiple of 6264 and 6267

Properties of GCF 6264 and 6267

(i) The GCF of 6264 and 6267 is associative

GCF of 6264 and 6267 = GCF of 6267 and 6264

Related Greatest Common Factor of 6264

Related Greatest Common Factor of 6267

Frequently Asked Questions on GCF of 6264 and 6267

1. What is the GCF of 6264 and 6267?

Answer: GCF of 6264 and 6267 is 3.

2. What are the Factors of 6264?

Answer: Factors of 6264 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 87, 108, 116, 174, 216, 232, 261, 348, 522, 696, 783, 1044, 1566, 2088, 3132, 6264. There are 32 integers that are factors of 6264. The greatest factor of 6264 is 6264.

3. What are the Factors of 6267?

Answer: Factors of 6267 are 1, 3, 2089, 6267. There are 4 integers that are factors of 6267. The greatest factor of 6267 is 6267.

4. How to Find the GCF of 6264 and 6267?

Answer:

Greatest Common Factor of 6264 and 6267 = 3

Step 1: Find the prime factorization of 6264

6264 = 2 x 2 x 2 x 3 x 3 x 3 x 29

Step 2: Find the prime factorization of 6267

6267 = 3 x 2089

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

GCF = 3

Step 4: Therefore, the greatest common factor of 6264 and 6267 is 3