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 8465, 8470 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8465 and 8470 is 5.
GCF(8465,8470) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8465
5 | 8465 |
1693 | 1693 |
1 |
Prime factors of 8465 are 5,1693. Prime factorization of 8465 in exponential form is:
8465 = 51×16931
Prime Factorization of 8470
2 | 8470 |
5 | 4235 |
7 | 847 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 8470 are 2,5,7,11. Prime factorization of 8470 in exponential form is:
8470 = 21×51×71×112
∴ So by taking common prime factors GCF of 8465 and 8470 is 5
Factors of 8465
List of positive integer factors of 8465 that divides 8465 without a remainder.
1,5,1693,8465
Factors of 8470
List of positive integer factors of 8470 that divides 8470 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470
Greatest Common Factor
We found the factors and prime factorization of 8465 and 8470. The biggest common factor number is the GCF number.
So the greatest common factor 8465 and 8470 is 5.
Also check out the Least Common Multiple of 8465 and 8470
(i) The GCF of 8465 and 8470 is associative
GCF of 8465 and 8470 = GCF of 8470 and 8465
1. What is the GCF of 8465 and 8470?
Answer: GCF of 8465 and 8470 is 5.
2. What are the Factors of 8465?
Answer: Factors of 8465 are 1, 5, 1693, 8465. There are 4 integers that are factors of 8465. The greatest factor of 8465 is 8465.
3. What are the Factors of 8470?
Answer: Factors of 8470 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470. There are 24 integers that are factors of 8470. The greatest factor of 8470 is 8470.
4. How to Find the GCF of 8465 and 8470?
Answer:
Greatest Common Factor of 8465 and 8470 = 5
Step 1: Find the prime factorization of 8465
8465 = 5 x 1693
Step 2: Find the prime factorization of 8470
8470 = 2 x 5 x 7 x 11 x 11
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 8465 and 8470 is 5