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 1703, 1708 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1703 and 1708 is 1.
GCF(1703,1708) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1703
13 | 1703 |
131 | 131 |
1 |
Prime factors of 1703 are 13,131. Prime factorization of 1703 in exponential form is:
1703 = 131×1311
Prime Factorization of 1708
2 | 1708 |
2 | 854 |
7 | 427 |
61 | 61 |
1 |
Prime factors of 1708 are 2,7,61. Prime factorization of 1708 in exponential form is:
1708 = 22×71×611
∴ So by taking common prime factors GCF of 1703 and 1708 is 1
Factors of 1703
List of positive integer factors of 1703 that divides 1703 without a remainder.
1,13,131,1703
Factors of 1708
List of positive integer factors of 1708 that divides 1708 without a remainder.
1,2,4,7,14,28,61,122,244,427,854,1708
Greatest Common Factor
We found the factors and prime factorization of 1703 and 1708. The biggest common factor number is the GCF number.
So the greatest common factor 1703 and 1708 is 1.
Also check out the Least Common Multiple of 1703 and 1708
(i) The GCF of 1703 and 1708 is associative
GCF of 1703 and 1708 = GCF of 1708 and 1703
1. What is the GCF of 1703 and 1708?
Answer: GCF of 1703 and 1708 is 1.
2. What are the Factors of 1703?
Answer: Factors of 1703 are 1, 13, 131, 1703. There are 4 integers that are factors of 1703. The greatest factor of 1703 is 1703.
3. What are the Factors of 1708?
Answer: Factors of 1708 are 1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708. There are 12 integers that are factors of 1708. The greatest factor of 1708 is 1708.
4. How to Find the GCF of 1703 and 1708?
Answer:
Greatest Common Factor of 1703 and 1708 = 1
Step 1: Find the prime factorization of 1703
1703 = 13 x 131
Step 2: Find the prime factorization of 1708
1708 = 2 x 2 x 7 x 61
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 1703 and 1708 is 1