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 3661, 3666 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3661 and 3666 is 1.
GCF(3661,3666) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3661
7 | 3661 |
523 | 523 |
1 |
Prime factors of 3661 are 7,523. Prime factorization of 3661 in exponential form is:
3661 = 71×5231
Prime Factorization of 3666
2 | 3666 |
3 | 1833 |
13 | 611 |
47 | 47 |
1 |
Prime factors of 3666 are 2,3,13,47. Prime factorization of 3666 in exponential form is:
3666 = 21×31×131×471
∴ So by taking common prime factors GCF of 3661 and 3666 is 1
Factors of 3661
List of positive integer factors of 3661 that divides 3661 without a remainder.
1,7,523,3661
Factors of 3666
List of positive integer factors of 3666 that divides 3666 without a remainder.
1,2,3,6,13,26,39,47,78,94,141,282,611,1222,1833,3666
Greatest Common Factor
We found the factors and prime factorization of 3661 and 3666. The biggest common factor number is the GCF number.
So the greatest common factor 3661 and 3666 is 1.
Also check out the Least Common Multiple of 3661 and 3666
(i) The GCF of 3661 and 3666 is associative
GCF of 3661 and 3666 = GCF of 3666 and 3661
1. What is the GCF of 3661 and 3666?
Answer: GCF of 3661 and 3666 is 1.
2. What are the Factors of 3661?
Answer: Factors of 3661 are 1, 7, 523, 3661. There are 4 integers that are factors of 3661. The greatest factor of 3661 is 3661.
3. What are the Factors of 3666?
Answer: Factors of 3666 are 1, 2, 3, 6, 13, 26, 39, 47, 78, 94, 141, 282, 611, 1222, 1833, 3666. There are 16 integers that are factors of 3666. The greatest factor of 3666 is 3666.
4. How to Find the GCF of 3661 and 3666?
Answer:
Greatest Common Factor of 3661 and 3666 = 1
Step 1: Find the prime factorization of 3661
3661 = 7 x 523
Step 2: Find the prime factorization of 3666
3666 = 2 x 3 x 13 x 47
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 3661 and 3666 is 1