Greatest Common Factor of 7267 and 7271

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 7267, 7271 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7267 and 7271 is 1.

GCF(7267,7271) = 1

GCF of 7267 and 7271

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

GCF of:
and

Greatest Common Factor of 7267 and 7271

GCF of 7267 and 7271 is 1

Prime Factorization of 7267


13 7267
13 559
43 43
1

Prime factors of 7267 are 13,43. Prime factorization of 7267 in exponential form is:

7267 = 132×431

Prime Factorization of 7271


11 7271
661 661
1

Prime factors of 7271 are 11,661. Prime factorization of 7271 in exponential form is:

7271 = 111×6611

∴ So by taking common prime factors GCF of 7267 and 7271 is 1

Greatest Common Factor of 7267 and 7271 by matching factors method

Factors of 7267

List of positive integer factors of 7267 that divides 7267 without a remainder.

1,13,43,169,559,7267

Factors of 7271

List of positive integer factors of 7271 that divides 7271 without a remainder.

1,11,661,7271

Greatest Common Factor

We found the factors and prime factorization of 7267 and 7271. The biggest common factor number is the GCF number.
So the greatest common factor 7267 and 7271 is 1.

Also check out the Least Common Multiple of 7267 and 7271

Properties of GCF 7267 and 7271

(i) The GCF of 7267 and 7271 is associative

GCF of 7267 and 7271 = GCF of 7271 and 7267

Related Greatest Common Factor of 7267

Related Greatest Common Factor of 7271

Frequently Asked Questions on GCF of 7267 and 7271

1. What is the GCF of 7267 and 7271?

Answer: GCF of 7267 and 7271 is 1.

2. What are the Factors of 7267?

Answer: Factors of 7267 are 1, 13, 43, 169, 559, 7267. There are 6 integers that are factors of 7267. The greatest factor of 7267 is 7267.

3. What are the Factors of 7271?

Answer: Factors of 7271 are 1, 11, 661, 7271. There are 4 integers that are factors of 7271. The greatest factor of 7271 is 7271.

4. How to Find the GCF of 7267 and 7271?

Answer:

Greatest Common Factor of 7267 and 7271 = 1

Step 1: Find the prime factorization of 7267

7267 = 13 x 13 x 43

Step 2: Find the prime factorization of 7271

7271 = 11 x 661

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 7267 and 7271 is 1