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 3577, 3585 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3577 and 3585 is 1.
GCF(3577,3585) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3577
7 | 3577 |
7 | 511 |
73 | 73 |
1 |
Prime factors of 3577 are 7,73. Prime factorization of 3577 in exponential form is:
3577 = 72×731
Prime Factorization of 3585
3 | 3585 |
5 | 1195 |
239 | 239 |
1 |
Prime factors of 3585 are 3,5,239. Prime factorization of 3585 in exponential form is:
3585 = 31×51×2391
∴ So by taking common prime factors GCF of 3577 and 3585 is 1
Factors of 3577
List of positive integer factors of 3577 that divides 3577 without a remainder.
1,7,49,73,511,3577
Factors of 3585
List of positive integer factors of 3585 that divides 3585 without a remainder.
1,3,5,15,239,717,1195,3585
Greatest Common Factor
We found the factors and prime factorization of 3577 and 3585. The biggest common factor number is the GCF number.
So the greatest common factor 3577 and 3585 is 1.
Also check out the Least Common Multiple of 3577 and 3585
(i) The GCF of 3577 and 3585 is associative
GCF of 3577 and 3585 = GCF of 3585 and 3577
1. What is the GCF of 3577 and 3585?
Answer: GCF of 3577 and 3585 is 1.
2. What are the Factors of 3577?
Answer: Factors of 3577 are 1, 7, 49, 73, 511, 3577. There are 6 integers that are factors of 3577. The greatest factor of 3577 is 3577.
3. What are the Factors of 3585?
Answer: Factors of 3585 are 1, 3, 5, 15, 239, 717, 1195, 3585. There are 8 integers that are factors of 3585. The greatest factor of 3585 is 3585.
4. How to Find the GCF of 3577 and 3585?
Answer:
Greatest Common Factor of 3577 and 3585 = 1
Step 1: Find the prime factorization of 3577
3577 = 7 x 7 x 73
Step 2: Find the prime factorization of 3585
3585 = 3 x 5 x 239
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 3577 and 3585 is 1