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 2674, 2681 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2674 and 2681 is 7.
GCF(2674,2681) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2674
2 | 2674 |
7 | 1337 |
191 | 191 |
1 |
Prime factors of 2674 are 2,7,191. Prime factorization of 2674 in exponential form is:
2674 = 21×71×1911
Prime Factorization of 2681
7 | 2681 |
383 | 383 |
1 |
Prime factors of 2681 are 7,383. Prime factorization of 2681 in exponential form is:
2681 = 71×3831
∴ So by taking common prime factors GCF of 2674 and 2681 is 7
Factors of 2674
List of positive integer factors of 2674 that divides 2674 without a remainder.
1,2,7,14,191,382,1337,2674
Factors of 2681
List of positive integer factors of 2681 that divides 2681 without a remainder.
1,7,383,2681
Greatest Common Factor
We found the factors and prime factorization of 2674 and 2681. The biggest common factor number is the GCF number.
So the greatest common factor 2674 and 2681 is 7.
Also check out the Least Common Multiple of 2674 and 2681
(i) The GCF of 2674 and 2681 is associative
GCF of 2674 and 2681 = GCF of 2681 and 2674
1. What is the GCF of 2674 and 2681?
Answer: GCF of 2674 and 2681 is 7.
2. What are the Factors of 2674?
Answer: Factors of 2674 are 1, 2, 7, 14, 191, 382, 1337, 2674. There are 8 integers that are factors of 2674. The greatest factor of 2674 is 2674.
3. What are the Factors of 2681?
Answer: Factors of 2681 are 1, 7, 383, 2681. There are 4 integers that are factors of 2681. The greatest factor of 2681 is 2681.
4. How to Find the GCF of 2674 and 2681?
Answer:
Greatest Common Factor of 2674 and 2681 = 7
Step 1: Find the prime factorization of 2674
2674 = 2 x 7 x 191
Step 2: Find the prime factorization of 2681
2681 = 7 x 383
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 2674 and 2681 is 7