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 703, 710 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 703 and 710 is 1.
GCF(703,710) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 703
19 | 703 |
37 | 37 |
1 |
Prime factors of 703 are 19,37. Prime factorization of 703 in exponential form is:
703 = 191×371
Prime Factorization of 710
2 | 710 |
5 | 355 |
71 | 71 |
1 |
Prime factors of 710 are 2,5,71. Prime factorization of 710 in exponential form is:
710 = 21×51×711
∴ So by taking common prime factors GCF of 703 and 710 is 1
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Greatest Common Factor
We found the factors and prime factorization of 703 and 710. The biggest common factor number is the GCF number.
So the greatest common factor 703 and 710 is 1.
Also check out the Least Common Multiple of 703 and 710
(i) The GCF of 703 and 710 is associative
GCF of 703 and 710 = GCF of 710 and 703
1. What is the GCF of 703 and 710?
Answer: GCF of 703 and 710 is 1.
2. What are the Factors of 703?
Answer: Factors of 703 are 1, 19, 37, 703. There are 4 integers that are factors of 703. The greatest factor of 703 is 703.
3. What are the Factors of 710?
Answer: Factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710. There are 8 integers that are factors of 710. The greatest factor of 710 is 710.
4. How to Find the GCF of 703 and 710?
Answer:
Greatest Common Factor of 703 and 710 = 1
Step 1: Find the prime factorization of 703
703 = 19 x 37
Step 2: Find the prime factorization of 710
710 = 2 x 5 x 71
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 703 and 710 is 1