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 3653, 3657 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3653 and 3657 is 1.
GCF(3653,3657) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3653
13 | 3653 |
281 | 281 |
1 |
Prime factors of 3653 are 13,281. Prime factorization of 3653 in exponential form is:
3653 = 131×2811
Prime Factorization of 3657
3 | 3657 |
23 | 1219 |
53 | 53 |
1 |
Prime factors of 3657 are 3,23,53. Prime factorization of 3657 in exponential form is:
3657 = 31×231×531
∴ So by taking common prime factors GCF of 3653 and 3657 is 1
Factors of 3653
List of positive integer factors of 3653 that divides 3653 without a remainder.
1,13,281,3653
Factors of 3657
List of positive integer factors of 3657 that divides 3657 without a remainder.
1,3,23,53,69,159,1219,3657
Greatest Common Factor
We found the factors and prime factorization of 3653 and 3657. The biggest common factor number is the GCF number.
So the greatest common factor 3653 and 3657 is 1.
Also check out the Least Common Multiple of 3653 and 3657
(i) The GCF of 3653 and 3657 is associative
GCF of 3653 and 3657 = GCF of 3657 and 3653
1. What is the GCF of 3653 and 3657?
Answer: GCF of 3653 and 3657 is 1.
2. What are the Factors of 3653?
Answer: Factors of 3653 are 1, 13, 281, 3653. There are 4 integers that are factors of 3653. The greatest factor of 3653 is 3653.
3. What are the Factors of 3657?
Answer: Factors of 3657 are 1, 3, 23, 53, 69, 159, 1219, 3657. There are 8 integers that are factors of 3657. The greatest factor of 3657 is 3657.
4. How to Find the GCF of 3653 and 3657?
Answer:
Greatest Common Factor of 3653 and 3657 = 1
Step 1: Find the prime factorization of 3653
3653 = 13 x 281
Step 2: Find the prime factorization of 3657
3657 = 3 x 23 x 53
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 3653 and 3657 is 1