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 8674, 8679 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8674 and 8679 is 1.
GCF(8674,8679) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8674
2 | 8674 |
4337 | 4337 |
1 |
Prime factors of 8674 are 2,4337. Prime factorization of 8674 in exponential form is:
8674 = 21×43371
Prime Factorization of 8679
3 | 8679 |
11 | 2893 |
263 | 263 |
1 |
Prime factors of 8679 are 3,11,263. Prime factorization of 8679 in exponential form is:
8679 = 31×111×2631
∴ So by taking common prime factors GCF of 8674 and 8679 is 1
Factors of 8674
List of positive integer factors of 8674 that divides 8674 without a remainder.
1,2,4337,8674
Factors of 8679
List of positive integer factors of 8679 that divides 8679 without a remainder.
1,3,11,33,263,789,2893,8679
Greatest Common Factor
We found the factors and prime factorization of 8674 and 8679. The biggest common factor number is the GCF number.
So the greatest common factor 8674 and 8679 is 1.
Also check out the Least Common Multiple of 8674 and 8679
(i) The GCF of 8674 and 8679 is associative
GCF of 8674 and 8679 = GCF of 8679 and 8674
1. What is the GCF of 8674 and 8679?
Answer: GCF of 8674 and 8679 is 1.
2. What are the Factors of 8674?
Answer: Factors of 8674 are 1, 2, 4337, 8674. There are 4 integers that are factors of 8674. The greatest factor of 8674 is 8674.
3. What are the Factors of 8679?
Answer: Factors of 8679 are 1, 3, 11, 33, 263, 789, 2893, 8679. There are 8 integers that are factors of 8679. The greatest factor of 8679 is 8679.
4. How to Find the GCF of 8674 and 8679?
Answer:
Greatest Common Factor of 8674 and 8679 = 1
Step 1: Find the prime factorization of 8674
8674 = 2 x 4337
Step 2: Find the prime factorization of 8679
8679 = 3 x 11 x 263
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 8674 and 8679 is 1