Greatest Common Factor of 2667 and 2671

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 2667, 2671 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2667 and 2671 is 1.

GCF(2667,2671) = 1

GCF of 2667 and 2671

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

GCF of:
and

Greatest Common Factor of 2667 and 2671

GCF of 2667 and 2671 is 1

Prime Factorization of 2667


3 2667
7 889
127 127
1

Prime factors of 2667 are 3,7,127. Prime factorization of 2667 in exponential form is:

2667 = 31×71×1271

Prime Factorization of 2671


2671 2671
1

Prime factors of 2671 are 2671. Prime factorization of 2671 in exponential form is:

2671 = 26711

∴ So by taking common prime factors GCF of 2667 and 2671 is 1

Greatest Common Factor of 2667 and 2671 by matching factors method

Factors of 2667

List of positive integer factors of 2667 that divides 2667 without a remainder.

1,3,7,21,127,381,889,2667

Factors of 2671

List of positive integer factors of 2671 that divides 2671 without a remainder.

1,2671

Greatest Common Factor

We found the factors and prime factorization of 2667 and 2671. The biggest common factor number is the GCF number.
So the greatest common factor 2667 and 2671 is 1.

Also check out the Least Common Multiple of 2667 and 2671

Properties of GCF 2667 and 2671

(i) The GCF of 2667 and 2671 is associative

GCF of 2667 and 2671 = GCF of 2671 and 2667

Related Greatest Common Factor of 2667

Related Greatest Common Factor of 2671

Frequently Asked Questions on GCF of 2667 and 2671

1. What is the GCF of 2667 and 2671?

Answer: GCF of 2667 and 2671 is 1.

2. What are the Factors of 2667?

Answer: Factors of 2667 are 1, 3, 7, 21, 127, 381, 889, 2667. There are 8 integers that are factors of 2667. The greatest factor of 2667 is 2667.

3. What are the Factors of 2671?

Answer: Factors of 2671 are 1, 2671. There are 2 integers that are factors of 2671. The greatest factor of 2671 is 2671.

4. How to Find the GCF of 2667 and 2671?

Answer:

Greatest Common Factor of 2667 and 2671 = 1

Step 1: Find the prime factorization of 2667

2667 = 3 x 7 x 127

Step 2: Find the prime factorization of 2671

2671 = 2671

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 2667 and 2671 is 1