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 4674, 4681 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4674 and 4681 is 1.
GCF(4674,4681) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4674
2 | 4674 |
3 | 2337 |
19 | 779 |
41 | 41 |
1 |
Prime factors of 4674 are 2,3,19,41. Prime factorization of 4674 in exponential form is:
4674 = 21×31×191×411
Prime Factorization of 4681
31 | 4681 |
151 | 151 |
1 |
Prime factors of 4681 are 31,151. Prime factorization of 4681 in exponential form is:
4681 = 311×1511
∴ So by taking common prime factors GCF of 4674 and 4681 is 1
Factors of 4674
List of positive integer factors of 4674 that divides 4674 without a remainder.
1,2,3,6,19,38,41,57,82,114,123,246,779,1558,2337,4674
Factors of 4681
List of positive integer factors of 4681 that divides 4681 without a remainder.
1,31,151,4681
Greatest Common Factor
We found the factors and prime factorization of 4674 and 4681. The biggest common factor number is the GCF number.
So the greatest common factor 4674 and 4681 is 1.
Also check out the Least Common Multiple of 4674 and 4681
(i) The GCF of 4674 and 4681 is associative
GCF of 4674 and 4681 = GCF of 4681 and 4674
1. What is the GCF of 4674 and 4681?
Answer: GCF of 4674 and 4681 is 1.
2. What are the Factors of 4674?
Answer: Factors of 4674 are 1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337, 4674. There are 16 integers that are factors of 4674. The greatest factor of 4674 is 4674.
3. What are the Factors of 4681?
Answer: Factors of 4681 are 1, 31, 151, 4681. There are 4 integers that are factors of 4681. The greatest factor of 4681 is 4681.
4. How to Find the GCF of 4674 and 4681?
Answer:
Greatest Common Factor of 4674 and 4681 = 1
Step 1: Find the prime factorization of 4674
4674 = 2 x 3 x 19 x 41
Step 2: Find the prime factorization of 4681
4681 = 31 x 151
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 4674 and 4681 is 1