Greatest Common Factor of 2669 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 2669, 2671 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2669 and 2671 is 1.

GCF(2669,2671) = 1

GCF of 2669 and 2671

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

GCF of:
and

Greatest Common Factor of 2669 and 2671

GCF of 2669 and 2671 is 1

Prime Factorization of 2669


17 2669
157 157
1

Prime factors of 2669 are 17,157. Prime factorization of 2669 in exponential form is:

2669 = 171×1571

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 2669 and 2671 is 1

Greatest Common Factor of 2669 and 2671 by matching factors method

Factors of 2669

List of positive integer factors of 2669 that divides 2669 without a remainder.

1,17,157,2669

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 2669 and 2671. The biggest common factor number is the GCF number.
So the greatest common factor 2669 and 2671 is 1.

Also check out the Least Common Multiple of 2669 and 2671

Properties of GCF 2669 and 2671

(i) The GCF of 2669 and 2671 is associative

GCF of 2669 and 2671 = GCF of 2671 and 2669

Frequently Asked Questions on GCF of 2669 and 2671

1. What is the GCF of 2669 and 2671?

Answer: GCF of 2669 and 2671 is 1.

2. What are the Factors of 2669?

Answer: Factors of 2669 are 1, 17, 157, 2669. There are 4 integers that are factors of 2669. The greatest factor of 2669 is 2669.

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 2669 and 2671?

Answer:

Greatest Common Factor of 2669 and 2671 = 1

Step 1: Find the prime factorization of 2669

2669 = 17 x 157

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 2669 and 2671 is 1