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 3582, 3587 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3582 and 3587 is 1.
GCF(3582,3587) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3582
2 | 3582 |
3 | 1791 |
3 | 597 |
199 | 199 |
1 |
Prime factors of 3582 are 2,3,199. Prime factorization of 3582 in exponential form is:
3582 = 21×32×1991
Prime Factorization of 3587
17 | 3587 |
211 | 211 |
1 |
Prime factors of 3587 are 17,211. Prime factorization of 3587 in exponential form is:
3587 = 171×2111
∴ So by taking common prime factors GCF of 3582 and 3587 is 1
Factors of 3582
List of positive integer factors of 3582 that divides 3582 without a remainder.
1,2,3,6,9,18,199,398,597,1194,1791,3582
Factors of 3587
List of positive integer factors of 3587 that divides 3587 without a remainder.
1,17,211,3587
Greatest Common Factor
We found the factors and prime factorization of 3582 and 3587. The biggest common factor number is the GCF number.
So the greatest common factor 3582 and 3587 is 1.
Also check out the Least Common Multiple of 3582 and 3587
(i) The GCF of 3582 and 3587 is associative
GCF of 3582 and 3587 = GCF of 3587 and 3582
1. What is the GCF of 3582 and 3587?
Answer: GCF of 3582 and 3587 is 1.
2. What are the Factors of 3582?
Answer: Factors of 3582 are 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791, 3582. There are 12 integers that are factors of 3582. The greatest factor of 3582 is 3582.
3. What are the Factors of 3587?
Answer: Factors of 3587 are 1, 17, 211, 3587. There are 4 integers that are factors of 3587. The greatest factor of 3587 is 3587.
4. How to Find the GCF of 3582 and 3587?
Answer:
Greatest Common Factor of 3582 and 3587 = 1
Step 1: Find the prime factorization of 3582
3582 = 2 x 3 x 3 x 199
Step 2: Find the prime factorization of 3587
3587 = 17 x 211
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 3582 and 3587 is 1