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 706, 713 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 706 and 713 is 1.
GCF(706,713) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 706
2 | 706 |
353 | 353 |
1 |
Prime factors of 706 are 2,353. Prime factorization of 706 in exponential form is:
706 = 21×3531
Prime Factorization of 713
23 | 713 |
31 | 31 |
1 |
Prime factors of 713 are 23,31. Prime factorization of 713 in exponential form is:
713 = 231×311
∴ So by taking common prime factors GCF of 706 and 713 is 1
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1,23,31,713
Greatest Common Factor
We found the factors and prime factorization of 706 and 713. The biggest common factor number is the GCF number.
So the greatest common factor 706 and 713 is 1.
Also check out the Least Common Multiple of 706 and 713
(i) The GCF of 706 and 713 is associative
GCF of 706 and 713 = GCF of 713 and 706
1. What is the GCF of 706 and 713?
Answer: GCF of 706 and 713 is 1.
2. What are the Factors of 706?
Answer: Factors of 706 are 1, 2, 353, 706. There are 4 integers that are factors of 706. The greatest factor of 706 is 706.
3. What are the Factors of 713?
Answer: Factors of 713 are 1, 23, 31, 713. There are 4 integers that are factors of 713. The greatest factor of 713 is 713.
4. How to Find the GCF of 706 and 713?
Answer:
Greatest Common Factor of 706 and 713 = 1
Step 1: Find the prime factorization of 706
706 = 2 x 353
Step 2: Find the prime factorization of 713
713 = 23 x 31
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 706 and 713 is 1