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 8503, 8506 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8503 and 8506 is 1.
GCF(8503,8506) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8503
11 | 8503 |
773 | 773 |
1 |
Prime factors of 8503 are 11,773. Prime factorization of 8503 in exponential form is:
8503 = 111×7731
Prime Factorization of 8506
2 | 8506 |
4253 | 4253 |
1 |
Prime factors of 8506 are 2,4253. Prime factorization of 8506 in exponential form is:
8506 = 21×42531
∴ So by taking common prime factors GCF of 8503 and 8506 is 1
Factors of 8503
List of positive integer factors of 8503 that divides 8503 without a remainder.
1,11,773,8503
Factors of 8506
List of positive integer factors of 8506 that divides 8506 without a remainder.
1,2,4253,8506
Greatest Common Factor
We found the factors and prime factorization of 8503 and 8506. The biggest common factor number is the GCF number.
So the greatest common factor 8503 and 8506 is 1.
Also check out the Least Common Multiple of 8503 and 8506
(i) The GCF of 8503 and 8506 is associative
GCF of 8503 and 8506 = GCF of 8506 and 8503
1. What is the GCF of 8503 and 8506?
Answer: GCF of 8503 and 8506 is 1.
2. What are the Factors of 8503?
Answer: Factors of 8503 are 1, 11, 773, 8503. There are 4 integers that are factors of 8503. The greatest factor of 8503 is 8503.
3. What are the Factors of 8506?
Answer: Factors of 8506 are 1, 2, 4253, 8506. There are 4 integers that are factors of 8506. The greatest factor of 8506 is 8506.
4. How to Find the GCF of 8503 and 8506?
Answer:
Greatest Common Factor of 8503 and 8506 = 1
Step 1: Find the prime factorization of 8503
8503 = 11 x 773
Step 2: Find the prime factorization of 8506
8506 = 2 x 4253
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 8503 and 8506 is 1