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, 707 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 705 and 707 is 1.
GCF(705,707) = 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 707
7 | 707 |
101 | 101 |
1 |
Prime factors of 707 are 7,101. Prime factorization of 707 in exponential form is:
707 = 71×1011
∴ So by taking common prime factors GCF of 705 and 707 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 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Greatest Common Factor
We found the factors and prime factorization of 705 and 707. The biggest common factor number is the GCF number.
So the greatest common factor 705 and 707 is 1.
Also check out the Least Common Multiple of 705 and 707
(i) The GCF of 705 and 707 is associative
GCF of 705 and 707 = GCF of 707 and 705
1. What is the GCF of 705 and 707?
Answer: GCF of 705 and 707 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 707?
Answer: Factors of 707 are 1, 7, 101, 707. There are 4 integers that are factors of 707. The greatest factor of 707 is 707.
4. How to Find the GCF of 705 and 707?
Answer:
Greatest Common Factor of 705 and 707 = 1
Step 1: Find the prime factorization of 705
705 = 3 x 5 x 47
Step 2: Find the prime factorization of 707
707 = 7 x 101
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 707 is 1