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 8502, 8506 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8502 and 8506 is 2.
GCF(8502,8506) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8502
2 | 8502 |
3 | 4251 |
13 | 1417 |
109 | 109 |
1 |
Prime factors of 8502 are 2,3,13,109. Prime factorization of 8502 in exponential form is:
8502 = 21×31×131×1091
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 8502 and 8506 is 2
Factors of 8502
List of positive integer factors of 8502 that divides 8502 without a remainder.
1,2,3,6,13,26,39,78,109,218,327,654,1417,2834,4251,8502
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 8502 and 8506. The biggest common factor number is the GCF number.
So the greatest common factor 8502 and 8506 is 2.
Also check out the Least Common Multiple of 8502 and 8506
(i) The GCF of 8502 and 8506 is associative
GCF of 8502 and 8506 = GCF of 8506 and 8502
1. What is the GCF of 8502 and 8506?
Answer: GCF of 8502 and 8506 is 2.
2. What are the Factors of 8502?
Answer: Factors of 8502 are 1, 2, 3, 6, 13, 26, 39, 78, 109, 218, 327, 654, 1417, 2834, 4251, 8502. There are 16 integers that are factors of 8502. The greatest factor of 8502 is 8502.
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 8502 and 8506?
Answer:
Greatest Common Factor of 8502 and 8506 = 2
Step 1: Find the prime factorization of 8502
8502 = 2 x 3 x 13 x 109
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 = 2
Step 4: Therefore, the greatest common factor of 8502 and 8506 is 2