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 3693, 3697 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3693 and 3697 is 1.
GCF(3693,3697) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3693
3 | 3693 |
1231 | 1231 |
1 |
Prime factors of 3693 are 3,1231. Prime factorization of 3693 in exponential form is:
3693 = 31×12311
Prime Factorization of 3697
3697 | 3697 |
1 |
Prime factors of 3697 are 3697. Prime factorization of 3697 in exponential form is:
3697 = 36971
∴ So by taking common prime factors GCF of 3693 and 3697 is 1
Factors of 3693
List of positive integer factors of 3693 that divides 3693 without a remainder.
1,3,1231,3693
Factors of 3697
List of positive integer factors of 3697 that divides 3697 without a remainder.
1,3697
Greatest Common Factor
We found the factors and prime factorization of 3693 and 3697. The biggest common factor number is the GCF number.
So the greatest common factor 3693 and 3697 is 1.
Also check out the Least Common Multiple of 3693 and 3697
(i) The GCF of 3693 and 3697 is associative
GCF of 3693 and 3697 = GCF of 3697 and 3693
1. What is the GCF of 3693 and 3697?
Answer: GCF of 3693 and 3697 is 1.
2. What are the Factors of 3693?
Answer: Factors of 3693 are 1, 3, 1231, 3693. There are 4 integers that are factors of 3693. The greatest factor of 3693 is 3693.
3. What are the Factors of 3697?
Answer: Factors of 3697 are 1, 3697. There are 2 integers that are factors of 3697. The greatest factor of 3697 is 3697.
4. How to Find the GCF of 3693 and 3697?
Answer:
Greatest Common Factor of 3693 and 3697 = 1
Step 1: Find the prime factorization of 3693
3693 = 3 x 1231
Step 2: Find the prime factorization of 3697
3697 = 3697
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 3693 and 3697 is 1