Greatest Common Factor of 663 and 667
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 663, 667 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 663 and 667 is 1.
GCF(663,667) = 1
GCF of 663 and 667
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 663 and 667 by prime factorization method
- Greatest Common Factor of 663 and 667 by matching factors method
GCF of 663 and 667 is 1
Prime Factorization of 663
| 3 | 663 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 663 are 3,13,17. Prime factorization of 663 in exponential form is:
663 = 31×131×171
Prime Factorization of 667
| 23 | 667 |
| 29 | 29 |
| 1 |
Prime factors of 667 are 23,29. Prime factorization of 667 in exponential form is:
667 = 231×291
∴ So by taking common prime factors GCF of 663 and 667 is 1
Greatest Common Factor of 663 and 667 by matching factors method
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Greatest Common Factor
We found the factors and prime factorization of 663 and 667. The biggest common factor number is the GCF number.
So the greatest common factor 663 and 667 is 1.
Also check out the Least Common Multiple of 663 and 667
Properties of GCF 663 and 667
(i) The GCF of 663 and 667 is associative
GCF of 663 and 667 = GCF of 667 and 663
Related Greatest Common Factor of 663
Related Greatest Common Factor of 667
Frequently Asked Questions on GCF of 663 and 667
1. What is the GCF of 663 and 667?
Answer: GCF of 663 and 667 is 1.
2. What are the Factors of 663?
Answer: Factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663. There are 8 integers that are factors of 663. The greatest factor of 663 is 663.
3. What are the Factors of 667?
Answer: Factors of 667 are 1, 23, 29, 667. There are 4 integers that are factors of 667. The greatest factor of 667 is 667.
4. How to Find the GCF of 663 and 667?
Answer:
Greatest Common Factor of 663 and 667 = 1
Step 1: Find the prime factorization of 663
663 = 3 x 13 x 17
Step 2: Find the prime factorization of 667
667 = 23 x 29
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 663 and 667 is 1