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 8600, 8607 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8600 and 8607 is 1.
GCF(8600,8607) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8600
2 | 8600 |
2 | 4300 |
2 | 2150 |
5 | 1075 |
5 | 215 |
43 | 43 |
1 |
Prime factors of 8600 are 2,5,43. Prime factorization of 8600 in exponential form is:
8600 = 23×52×431
Prime Factorization of 8607
3 | 8607 |
19 | 2869 |
151 | 151 |
1 |
Prime factors of 8607 are 3,19,151. Prime factorization of 8607 in exponential form is:
8607 = 31×191×1511
∴ So by taking common prime factors GCF of 8600 and 8607 is 1
Factors of 8600
List of positive integer factors of 8600 that divides 8600 without a remainder.
1,2,4,5,8,10,20,25,40,43,50,86,100,172,200,215,344,430,860,1075,1720,2150,4300,8600
Factors of 8607
List of positive integer factors of 8607 that divides 8607 without a remainder.
1,3,19,57,151,453,2869,8607
Greatest Common Factor
We found the factors and prime factorization of 8600 and 8607. The biggest common factor number is the GCF number.
So the greatest common factor 8600 and 8607 is 1.
Also check out the Least Common Multiple of 8600 and 8607
(i) The GCF of 8600 and 8607 is associative
GCF of 8600 and 8607 = GCF of 8607 and 8600
1. What is the GCF of 8600 and 8607?
Answer: GCF of 8600 and 8607 is 1.
2. What are the Factors of 8600?
Answer: Factors of 8600 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300, 8600. There are 24 integers that are factors of 8600. The greatest factor of 8600 is 8600.
3. What are the Factors of 8607?
Answer: Factors of 8607 are 1, 3, 19, 57, 151, 453, 2869, 8607. There are 8 integers that are factors of 8607. The greatest factor of 8607 is 8607.
4. How to Find the GCF of 8600 and 8607?
Answer:
Greatest Common Factor of 8600 and 8607 = 1
Step 1: Find the prime factorization of 8600
8600 = 2 x 2 x 2 x 5 x 5 x 43
Step 2: Find the prime factorization of 8607
8607 = 3 x 19 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 8600 and 8607 is 1