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 675, 680 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 675 and 680 is 5.
GCF(675,680) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 675
3 | 675 |
3 | 225 |
3 | 75 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 675 are 3,5. Prime factorization of 675 in exponential form is:
675 = 33×52
Prime Factorization of 680
2 | 680 |
2 | 340 |
2 | 170 |
5 | 85 |
17 | 17 |
1 |
Prime factors of 680 are 2,5,17. Prime factorization of 680 in exponential form is:
680 = 23×51×171
∴ So by taking common prime factors GCF of 675 and 680 is 5
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors and prime factorization of 675 and 680. The biggest common factor number is the GCF number.
So the greatest common factor 675 and 680 is 5.
Also check out the Least Common Multiple of 675 and 680
(i) The GCF of 675 and 680 is associative
GCF of 675 and 680 = GCF of 680 and 675
1. What is the GCF of 675 and 680?
Answer: GCF of 675 and 680 is 5.
2. What are the Factors of 675?
Answer: Factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675. There are 12 integers that are factors of 675. The greatest factor of 675 is 675.
3. What are the Factors of 680?
Answer: Factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680. There are 16 integers that are factors of 680. The greatest factor of 680 is 680.
4. How to Find the GCF of 675 and 680?
Answer:
Greatest Common Factor of 675 and 680 = 5
Step 1: Find the prime factorization of 675
675 = 3 x 3 x 3 x 5 x 5
Step 2: Find the prime factorization of 680
680 = 2 x 2 x 2 x 5 x 17
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 675 and 680 is 5