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 8495, 8502 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8495 and 8502 is 1.
GCF(8495,8502) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8495
5 | 8495 |
1699 | 1699 |
1 |
Prime factors of 8495 are 5,1699. Prime factorization of 8495 in exponential form is:
8495 = 51×16991
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
∴ So by taking common prime factors GCF of 8495 and 8502 is 1
Factors of 8495
List of positive integer factors of 8495 that divides 8495 without a remainder.
1,5,1699,8495
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
Greatest Common Factor
We found the factors and prime factorization of 8495 and 8502. The biggest common factor number is the GCF number.
So the greatest common factor 8495 and 8502 is 1.
Also check out the Least Common Multiple of 8495 and 8502
(i) The GCF of 8495 and 8502 is associative
GCF of 8495 and 8502 = GCF of 8502 and 8495
1. What is the GCF of 8495 and 8502?
Answer: GCF of 8495 and 8502 is 1.
2. What are the Factors of 8495?
Answer: Factors of 8495 are 1, 5, 1699, 8495. There are 4 integers that are factors of 8495. The greatest factor of 8495 is 8495.
3. 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.
4. How to Find the GCF of 8495 and 8502?
Answer:
Greatest Common Factor of 8495 and 8502 = 1
Step 1: Find the prime factorization of 8495
8495 = 5 x 1699
Step 2: Find the prime factorization of 8502
8502 = 2 x 3 x 13 x 109
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 8495 and 8502 is 1