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 3641, 3646 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3641 and 3646 is 1.
GCF(3641,3646) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3641
11 | 3641 |
331 | 331 |
1 |
Prime factors of 3641 are 11,331. Prime factorization of 3641 in exponential form is:
3641 = 111×3311
Prime Factorization of 3646
2 | 3646 |
1823 | 1823 |
1 |
Prime factors of 3646 are 2,1823. Prime factorization of 3646 in exponential form is:
3646 = 21×18231
∴ So by taking common prime factors GCF of 3641 and 3646 is 1
Factors of 3641
List of positive integer factors of 3641 that divides 3641 without a remainder.
1,11,331,3641
Factors of 3646
List of positive integer factors of 3646 that divides 3646 without a remainder.
1,2,1823,3646
Greatest Common Factor
We found the factors and prime factorization of 3641 and 3646. The biggest common factor number is the GCF number.
So the greatest common factor 3641 and 3646 is 1.
Also check out the Least Common Multiple of 3641 and 3646
(i) The GCF of 3641 and 3646 is associative
GCF of 3641 and 3646 = GCF of 3646 and 3641
1. What is the GCF of 3641 and 3646?
Answer: GCF of 3641 and 3646 is 1.
2. What are the Factors of 3641?
Answer: Factors of 3641 are 1, 11, 331, 3641. There are 4 integers that are factors of 3641. The greatest factor of 3641 is 3641.
3. What are the Factors of 3646?
Answer: Factors of 3646 are 1, 2, 1823, 3646. There are 4 integers that are factors of 3646. The greatest factor of 3646 is 3646.
4. How to Find the GCF of 3641 and 3646?
Answer:
Greatest Common Factor of 3641 and 3646 = 1
Step 1: Find the prime factorization of 3641
3641 = 11 x 331
Step 2: Find the prime factorization of 3646
3646 = 2 x 1823
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 3641 and 3646 is 1