Greatest Common Factor of 2670 and 2673

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 2670, 2673 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2670 and 2673 is 3.

GCF(2670,2673) = 3

GCF of 2670 and 2673

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

GCF of:
and

Greatest Common Factor of 2670 and 2673

GCF of 2670 and 2673 is 3

Prime Factorization of 2670


2 2670
3 1335
5 445
89 89
1

Prime factors of 2670 are 2,3,5,89. Prime factorization of 2670 in exponential form is:

2670 = 21×31×51×891

Prime Factorization of 2673


3 2673
3 891
3 297
3 99
3 33
11 11
1

Prime factors of 2673 are 3,11. Prime factorization of 2673 in exponential form is:

2673 = 35×111

∴ So by taking common prime factors GCF of 2670 and 2673 is 3

Greatest Common Factor of 2670 and 2673 by matching factors method

Factors of 2670

List of positive integer factors of 2670 that divides 2670 without a remainder.

1,2,3,5,6,10,15,30,89,178,267,445,534,890,1335,2670

Factors of 2673

List of positive integer factors of 2673 that divides 2673 without a remainder.

1,3,9,11,27,33,81,99,243,297,891,2673

Greatest Common Factor

We found the factors and prime factorization of 2670 and 2673. The biggest common factor number is the GCF number.
So the greatest common factor 2670 and 2673 is 3.

Also check out the Least Common Multiple of 2670 and 2673

Properties of GCF 2670 and 2673

(i) The GCF of 2670 and 2673 is associative

GCF of 2670 and 2673 = GCF of 2673 and 2670

Related Greatest Common Factor of 2670

Related Greatest Common Factor of 2673

Frequently Asked Questions on GCF of 2670 and 2673

1. What is the GCF of 2670 and 2673?

Answer: GCF of 2670 and 2673 is 3.

2. What are the Factors of 2670?

Answer: Factors of 2670 are 1, 2, 3, 5, 6, 10, 15, 30, 89, 178, 267, 445, 534, 890, 1335, 2670. There are 16 integers that are factors of 2670. The greatest factor of 2670 is 2670.

3. What are the Factors of 2673?

Answer: Factors of 2673 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 891, 2673. There are 12 integers that are factors of 2673. The greatest factor of 2673 is 2673.

4. How to Find the GCF of 2670 and 2673?

Answer:

Greatest Common Factor of 2670 and 2673 = 3

Step 1: Find the prime factorization of 2670

2670 = 2 x 3 x 5 x 89

Step 2: Find the prime factorization of 2673

2673 = 3 x 3 x 3 x 3 x 3 x 11

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 2670 and 2673 is 3