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 4669, 4674 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4669 and 4674 is 1.
GCF(4669,4674) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4669
7 | 4669 |
23 | 667 |
29 | 29 |
1 |
Prime factors of 4669 are 7,23,29. Prime factorization of 4669 in exponential form is:
4669 = 71×231×291
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
∴ So by taking common prime factors GCF of 4669 and 4674 is 1
Factors of 4669
List of positive integer factors of 4669 that divides 4669 without a remainder.
1,7,23,29,161,203,667,4669
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
Greatest Common Factor
We found the factors and prime factorization of 4669 and 4674. The biggest common factor number is the GCF number.
So the greatest common factor 4669 and 4674 is 1.
Also check out the Least Common Multiple of 4669 and 4674
(i) The GCF of 4669 and 4674 is associative
GCF of 4669 and 4674 = GCF of 4674 and 4669
1. What is the GCF of 4669 and 4674?
Answer: GCF of 4669 and 4674 is 1.
2. What are the Factors of 4669?
Answer: Factors of 4669 are 1, 7, 23, 29, 161, 203, 667, 4669. There are 8 integers that are factors of 4669. The greatest factor of 4669 is 4669.
3. 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.
4. How to Find the GCF of 4669 and 4674?
Answer:
Greatest Common Factor of 4669 and 4674 = 1
Step 1: Find the prime factorization of 4669
4669 = 7 x 23 x 29
Step 2: Find the prime factorization of 4674
4674 = 2 x 3 x 19 x 41
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 4669 and 4674 is 1