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 3674, 3681 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3674 and 3681 is 1.
GCF(3674,3681) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3674
2 | 3674 |
11 | 1837 |
167 | 167 |
1 |
Prime factors of 3674 are 2,11,167. Prime factorization of 3674 in exponential form is:
3674 = 21×111×1671
Prime Factorization of 3681
3 | 3681 |
3 | 1227 |
409 | 409 |
1 |
Prime factors of 3681 are 3,409. Prime factorization of 3681 in exponential form is:
3681 = 32×4091
∴ So by taking common prime factors GCF of 3674 and 3681 is 1
Factors of 3674
List of positive integer factors of 3674 that divides 3674 without a remainder.
1,2,11,22,167,334,1837,3674
Factors of 3681
List of positive integer factors of 3681 that divides 3681 without a remainder.
1,3,9,409,1227,3681
Greatest Common Factor
We found the factors and prime factorization of 3674 and 3681. The biggest common factor number is the GCF number.
So the greatest common factor 3674 and 3681 is 1.
Also check out the Least Common Multiple of 3674 and 3681
(i) The GCF of 3674 and 3681 is associative
GCF of 3674 and 3681 = GCF of 3681 and 3674
1. What is the GCF of 3674 and 3681?
Answer: GCF of 3674 and 3681 is 1.
2. What are the Factors of 3674?
Answer: Factors of 3674 are 1, 2, 11, 22, 167, 334, 1837, 3674. There are 8 integers that are factors of 3674. The greatest factor of 3674 is 3674.
3. What are the Factors of 3681?
Answer: Factors of 3681 are 1, 3, 9, 409, 1227, 3681. There are 6 integers that are factors of 3681. The greatest factor of 3681 is 3681.
4. How to Find the GCF of 3674 and 3681?
Answer:
Greatest Common Factor of 3674 and 3681 = 1
Step 1: Find the prime factorization of 3674
3674 = 2 x 11 x 167
Step 2: Find the prime factorization of 3681
3681 = 3 x 3 x 409
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 3674 and 3681 is 1