Greatest Common Factor of 6267 and 6275

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 6267, 6275 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6267 and 6275 is 1.

GCF(6267,6275) = 1

GCF of 6267 and 6275

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

GCF of:
and

Greatest Common Factor of 6267 and 6275

GCF of 6267 and 6275 is 1

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

Prime Factorization of 6275


5 6275
5 1255
251 251
1

Prime factors of 6275 are 5,251. Prime factorization of 6275 in exponential form is:

6275 = 52×2511

∴ So by taking common prime factors GCF of 6267 and 6275 is 1

Greatest Common Factor of 6267 and 6275 by matching factors method

Factors of 6267

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

1,3,2089,6267

Factors of 6275

List of positive integer factors of 6275 that divides 6275 without a remainder.

1,5,25,251,1255,6275

Greatest Common Factor

We found the factors and prime factorization of 6267 and 6275. The biggest common factor number is the GCF number.
So the greatest common factor 6267 and 6275 is 1.

Also check out the Least Common Multiple of 6267 and 6275

Properties of GCF 6267 and 6275

(i) The GCF of 6267 and 6275 is associative

GCF of 6267 and 6275 = GCF of 6275 and 6267

Related Greatest Common Factor of 6267

Related Greatest Common Factor of 6275

Frequently Asked Questions on GCF of 6267 and 6275

1. What is the GCF of 6267 and 6275?

Answer: GCF of 6267 and 6275 is 1.

2. 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.

3. What are the Factors of 6275?

Answer: Factors of 6275 are 1, 5, 25, 251, 1255, 6275. There are 6 integers that are factors of 6275. The greatest factor of 6275 is 6275.

4. How to Find the GCF of 6267 and 6275?

Answer:

Greatest Common Factor of 6267 and 6275 = 1

Step 1: Find the prime factorization of 6267

6267 = 3 x 2089

Step 2: Find the prime factorization of 6275

6275 = 5 x 5 x 251

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6267 and 6275 is 1