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 665, 673 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 665 and 673 is 1.
GCF(665,673) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 665
5 | 665 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 665 are 5,7,19. Prime factorization of 665 in exponential form is:
665 = 51×71×191
Prime Factorization of 673
673 | 673 |
1 |
Prime factors of 673 are 673. Prime factorization of 673 in exponential form is:
673 = 6731
∴ So by taking common prime factors GCF of 665 and 673 is 1
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Greatest Common Factor
We found the factors and prime factorization of 665 and 673. The biggest common factor number is the GCF number.
So the greatest common factor 665 and 673 is 1.
Also check out the Least Common Multiple of 665 and 673
(i) The GCF of 665 and 673 is associative
GCF of 665 and 673 = GCF of 673 and 665
1. What is the GCF of 665 and 673?
Answer: GCF of 665 and 673 is 1.
2. What are the Factors of 665?
Answer: Factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665. There are 8 integers that are factors of 665. The greatest factor of 665 is 665.
3. What are the Factors of 673?
Answer: Factors of 673 are 1, 673. There are 2 integers that are factors of 673. The greatest factor of 673 is 673.
4. How to Find the GCF of 665 and 673?
Answer:
Greatest Common Factor of 665 and 673 = 1
Step 1: Find the prime factorization of 665
665 = 5 x 7 x 19
Step 2: Find the prime factorization of 673
673 = 673
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 665 and 673 is 1