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 705, 706 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 705 and 706 is 1.
GCF(705,706) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 705
3 | 705 |
5 | 235 |
47 | 47 |
1 |
Prime factors of 705 are 3,5,47. Prime factorization of 705 in exponential form is:
705 = 31×51×471
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
∴ So by taking common prime factors GCF of 705 and 706 is 1
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Greatest Common Factor
We found the factors and prime factorization of 705 and 706. The biggest common factor number is the GCF number.
So the greatest common factor 705 and 706 is 1.
Also check out the Least Common Multiple of 705 and 706
(i) The GCF of 705 and 706 is associative
GCF of 705 and 706 = GCF of 706 and 705
1. What is the GCF of 705 and 706?
Answer: GCF of 705 and 706 is 1.
2. What are the Factors of 705?
Answer: Factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705. There are 8 integers that are factors of 705. The greatest factor of 705 is 705.
3. 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.
4. How to Find the GCF of 705 and 706?
Answer:
Greatest Common Factor of 705 and 706 = 1
Step 1: Find the prime factorization of 705
705 = 3 x 5 x 47
Step 2: Find the prime factorization of 706
706 = 2 x 353
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 705 and 706 is 1