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 3703, 3707 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3703 and 3707 is 1.
GCF(3703,3707) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3703
7 | 3703 |
23 | 529 |
23 | 23 |
1 |
Prime factors of 3703 are 7,23. Prime factorization of 3703 in exponential form is:
3703 = 71×232
Prime Factorization of 3707
11 | 3707 |
337 | 337 |
1 |
Prime factors of 3707 are 11,337. Prime factorization of 3707 in exponential form is:
3707 = 111×3371
∴ So by taking common prime factors GCF of 3703 and 3707 is 1
Factors of 3703
List of positive integer factors of 3703 that divides 3703 without a remainder.
1,7,23,161,529,3703
Factors of 3707
List of positive integer factors of 3707 that divides 3707 without a remainder.
1,11,337,3707
Greatest Common Factor
We found the factors and prime factorization of 3703 and 3707. The biggest common factor number is the GCF number.
So the greatest common factor 3703 and 3707 is 1.
Also check out the Least Common Multiple of 3703 and 3707
(i) The GCF of 3703 and 3707 is associative
GCF of 3703 and 3707 = GCF of 3707 and 3703
1. What is the GCF of 3703 and 3707?
Answer: GCF of 3703 and 3707 is 1.
2. What are the Factors of 3703?
Answer: Factors of 3703 are 1, 7, 23, 161, 529, 3703. There are 6 integers that are factors of 3703. The greatest factor of 3703 is 3703.
3. What are the Factors of 3707?
Answer: Factors of 3707 are 1, 11, 337, 3707. There are 4 integers that are factors of 3707. The greatest factor of 3707 is 3707.
4. How to Find the GCF of 3703 and 3707?
Answer:
Greatest Common Factor of 3703 and 3707 = 1
Step 1: Find the prime factorization of 3703
3703 = 7 x 23 x 23
Step 2: Find the prime factorization of 3707
3707 = 11 x 337
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 3703 and 3707 is 1