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 3621, 3627 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3621 and 3627 is 3.
GCF(3621,3627) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3621
3 | 3621 |
17 | 1207 |
71 | 71 |
1 |
Prime factors of 3621 are 3,17,71. Prime factorization of 3621 in exponential form is:
3621 = 31×171×711
Prime Factorization of 3627
3 | 3627 |
3 | 1209 |
13 | 403 |
31 | 31 |
1 |
Prime factors of 3627 are 3,13,31. Prime factorization of 3627 in exponential form is:
3627 = 32×131×311
∴ So by taking common prime factors GCF of 3621 and 3627 is 3
Factors of 3621
List of positive integer factors of 3621 that divides 3621 without a remainder.
1,3,17,51,71,213,1207,3621
Factors of 3627
List of positive integer factors of 3627 that divides 3627 without a remainder.
1,3,9,13,31,39,93,117,279,403,1209,3627
Greatest Common Factor
We found the factors and prime factorization of 3621 and 3627. The biggest common factor number is the GCF number.
So the greatest common factor 3621 and 3627 is 3.
Also check out the Least Common Multiple of 3621 and 3627
(i) The GCF of 3621 and 3627 is associative
GCF of 3621 and 3627 = GCF of 3627 and 3621
1. What is the GCF of 3621 and 3627?
Answer: GCF of 3621 and 3627 is 3.
2. What are the Factors of 3621?
Answer: Factors of 3621 are 1, 3, 17, 51, 71, 213, 1207, 3621. There are 8 integers that are factors of 3621. The greatest factor of 3621 is 3621.
3. What are the Factors of 3627?
Answer: Factors of 3627 are 1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209, 3627. There are 12 integers that are factors of 3627. The greatest factor of 3627 is 3627.
4. How to Find the GCF of 3621 and 3627?
Answer:
Greatest Common Factor of 3621 and 3627 = 3
Step 1: Find the prime factorization of 3621
3621 = 3 x 17 x 71
Step 2: Find the prime factorization of 3627
3627 = 3 x 3 x 13 x 31
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 3621 and 3627 is 3