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 3632, 3639 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3632 and 3639 is 1.
GCF(3632,3639) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3632
2 | 3632 |
2 | 1816 |
2 | 908 |
2 | 454 |
227 | 227 |
1 |
Prime factors of 3632 are 2,227. Prime factorization of 3632 in exponential form is:
3632 = 24×2271
Prime Factorization of 3639
3 | 3639 |
1213 | 1213 |
1 |
Prime factors of 3639 are 3,1213. Prime factorization of 3639 in exponential form is:
3639 = 31×12131
∴ So by taking common prime factors GCF of 3632 and 3639 is 1
Factors of 3632
List of positive integer factors of 3632 that divides 3632 without a remainder.
1,2,4,8,16,227,454,908,1816,3632
Factors of 3639
List of positive integer factors of 3639 that divides 3639 without a remainder.
1,3,1213,3639
Greatest Common Factor
We found the factors and prime factorization of 3632 and 3639. The biggest common factor number is the GCF number.
So the greatest common factor 3632 and 3639 is 1.
Also check out the Least Common Multiple of 3632 and 3639
(i) The GCF of 3632 and 3639 is associative
GCF of 3632 and 3639 = GCF of 3639 and 3632
1. What is the GCF of 3632 and 3639?
Answer: GCF of 3632 and 3639 is 1.
2. What are the Factors of 3632?
Answer: Factors of 3632 are 1, 2, 4, 8, 16, 227, 454, 908, 1816, 3632. There are 10 integers that are factors of 3632. The greatest factor of 3632 is 3632.
3. What are the Factors of 3639?
Answer: Factors of 3639 are 1, 3, 1213, 3639. There are 4 integers that are factors of 3639. The greatest factor of 3639 is 3639.
4. How to Find the GCF of 3632 and 3639?
Answer:
Greatest Common Factor of 3632 and 3639 = 1
Step 1: Find the prime factorization of 3632
3632 = 2 x 2 x 2 x 2 x 227
Step 2: Find the prime factorization of 3639
3639 = 3 x 1213
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 3632 and 3639 is 1