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 8696, 8703 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8696 and 8703 is 1.
GCF(8696,8703) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8696
2 | 8696 |
2 | 4348 |
2 | 2174 |
1087 | 1087 |
1 |
Prime factors of 8696 are 2,1087. Prime factorization of 8696 in exponential form is:
8696 = 23×10871
Prime Factorization of 8703
3 | 8703 |
3 | 2901 |
967 | 967 |
1 |
Prime factors of 8703 are 3,967. Prime factorization of 8703 in exponential form is:
8703 = 32×9671
∴ So by taking common prime factors GCF of 8696 and 8703 is 1
Factors of 8696
List of positive integer factors of 8696 that divides 8696 without a remainder.
1,2,4,8,1087,2174,4348,8696
Factors of 8703
List of positive integer factors of 8703 that divides 8703 without a remainder.
1,3,9,967,2901,8703
Greatest Common Factor
We found the factors and prime factorization of 8696 and 8703. The biggest common factor number is the GCF number.
So the greatest common factor 8696 and 8703 is 1.
Also check out the Least Common Multiple of 8696 and 8703
(i) The GCF of 8696 and 8703 is associative
GCF of 8696 and 8703 = GCF of 8703 and 8696
1. What is the GCF of 8696 and 8703?
Answer: GCF of 8696 and 8703 is 1.
2. What are the Factors of 8696?
Answer: Factors of 8696 are 1, 2, 4, 8, 1087, 2174, 4348, 8696. There are 8 integers that are factors of 8696. The greatest factor of 8696 is 8696.
3. What are the Factors of 8703?
Answer: Factors of 8703 are 1, 3, 9, 967, 2901, 8703. There are 6 integers that are factors of 8703. The greatest factor of 8703 is 8703.
4. How to Find the GCF of 8696 and 8703?
Answer:
Greatest Common Factor of 8696 and 8703 = 1
Step 1: Find the prime factorization of 8696
8696 = 2 x 2 x 2 x 1087
Step 2: Find the prime factorization of 8703
8703 = 3 x 3 x 967
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 8696 and 8703 is 1