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 8654, 8659 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8654 and 8659 is 1.
GCF(8654,8659) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8654
2 | 8654 |
4327 | 4327 |
1 |
Prime factors of 8654 are 2,4327. Prime factorization of 8654 in exponential form is:
8654 = 21×43271
Prime Factorization of 8659
7 | 8659 |
1237 | 1237 |
1 |
Prime factors of 8659 are 7,1237. Prime factorization of 8659 in exponential form is:
8659 = 71×12371
∴ So by taking common prime factors GCF of 8654 and 8659 is 1
Factors of 8654
List of positive integer factors of 8654 that divides 8654 without a remainder.
1,2,4327,8654
Factors of 8659
List of positive integer factors of 8659 that divides 8659 without a remainder.
1,7,1237,8659
Greatest Common Factor
We found the factors and prime factorization of 8654 and 8659. The biggest common factor number is the GCF number.
So the greatest common factor 8654 and 8659 is 1.
Also check out the Least Common Multiple of 8654 and 8659
(i) The GCF of 8654 and 8659 is associative
GCF of 8654 and 8659 = GCF of 8659 and 8654
1. What is the GCF of 8654 and 8659?
Answer: GCF of 8654 and 8659 is 1.
2. What are the Factors of 8654?
Answer: Factors of 8654 are 1, 2, 4327, 8654. There are 4 integers that are factors of 8654. The greatest factor of 8654 is 8654.
3. What are the Factors of 8659?
Answer: Factors of 8659 are 1, 7, 1237, 8659. There are 4 integers that are factors of 8659. The greatest factor of 8659 is 8659.
4. How to Find the GCF of 8654 and 8659?
Answer:
Greatest Common Factor of 8654 and 8659 = 1
Step 1: Find the prime factorization of 8654
8654 = 2 x 4327
Step 2: Find the prime factorization of 8659
8659 = 7 x 1237
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 8654 and 8659 is 1