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 8496, 8503 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8496 and 8503 is 1.
GCF(8496,8503) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8496
2 | 8496 |
2 | 4248 |
2 | 2124 |
2 | 1062 |
3 | 531 |
3 | 177 |
59 | 59 |
1 |
Prime factors of 8496 are 2,3,59. Prime factorization of 8496 in exponential form is:
8496 = 24×32×591
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
∴ So by taking common prime factors GCF of 8496 and 8503 is 1
Factors of 8496
List of positive integer factors of 8496 that divides 8496 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,59,72,118,144,177,236,354,472,531,708,944,1062,1416,2124,2832,4248,8496
Factors of 8503
List of positive integer factors of 8503 that divides 8503 without a remainder.
1,11,773,8503
Greatest Common Factor
We found the factors and prime factorization of 8496 and 8503. The biggest common factor number is the GCF number.
So the greatest common factor 8496 and 8503 is 1.
Also check out the Least Common Multiple of 8496 and 8503
(i) The GCF of 8496 and 8503 is associative
GCF of 8496 and 8503 = GCF of 8503 and 8496
1. What is the GCF of 8496 and 8503?
Answer: GCF of 8496 and 8503 is 1.
2. What are the Factors of 8496?
Answer: Factors of 8496 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 59, 72, 118, 144, 177, 236, 354, 472, 531, 708, 944, 1062, 1416, 2124, 2832, 4248, 8496. There are 30 integers that are factors of 8496. The greatest factor of 8496 is 8496.
3. 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.
4. How to Find the GCF of 8496 and 8503?
Answer:
Greatest Common Factor of 8496 and 8503 = 1
Step 1: Find the prime factorization of 8496
8496 = 2 x 2 x 2 x 2 x 3 x 3 x 59
Step 2: Find the prime factorization of 8503
8503 = 11 x 773
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 8496 and 8503 is 1