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 2673, 2680 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2673 and 2680 is 1.
GCF(2673,2680) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2680
2 | 2680 |
2 | 1340 |
2 | 670 |
5 | 335 |
67 | 67 |
1 |
Prime factors of 2680 are 2,5,67. Prime factorization of 2680 in exponential form is:
2680 = 23×51×671
∴ So by taking common prime factors GCF of 2673 and 2680 is 1
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
Factors of 2680
List of positive integer factors of 2680 that divides 2680 without a remainder.
1,2,4,5,8,10,20,40,67,134,268,335,536,670,1340,2680
Greatest Common Factor
We found the factors and prime factorization of 2673 and 2680. The biggest common factor number is the GCF number.
So the greatest common factor 2673 and 2680 is 1.
Also check out the Least Common Multiple of 2673 and 2680
(i) The GCF of 2673 and 2680 is associative
GCF of 2673 and 2680 = GCF of 2680 and 2673
1. What is the GCF of 2673 and 2680?
Answer: GCF of 2673 and 2680 is 1.
2. 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.
3. What are the Factors of 2680?
Answer: Factors of 2680 are 1, 2, 4, 5, 8, 10, 20, 40, 67, 134, 268, 335, 536, 670, 1340, 2680. There are 16 integers that are factors of 2680. The greatest factor of 2680 is 2680.
4. How to Find the GCF of 2673 and 2680?
Answer:
Greatest Common Factor of 2673 and 2680 = 1
Step 1: Find the prime factorization of 2673
2673 = 3 x 3 x 3 x 3 x 3 x 11
Step 2: Find the prime factorization of 2680
2680 = 2 x 2 x 2 x 5 x 67
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 2673 and 2680 is 1