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 8602, 8603 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8602 and 8603 is 1.
GCF(8602,8603) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8602
2 | 8602 |
11 | 4301 |
17 | 391 |
23 | 23 |
1 |
Prime factors of 8602 are 2,11,17,23. Prime factorization of 8602 in exponential form is:
8602 = 21×111×171×231
Prime Factorization of 8603
7 | 8603 |
1229 | 1229 |
1 |
Prime factors of 8603 are 7,1229. Prime factorization of 8603 in exponential form is:
8603 = 71×12291
∴ So by taking common prime factors GCF of 8602 and 8603 is 1
Factors of 8602
List of positive integer factors of 8602 that divides 8602 without a remainder.
1,2,11,17,22,23,34,46,187,253,374,391,506,782,4301,8602
Factors of 8603
List of positive integer factors of 8603 that divides 8603 without a remainder.
1,7,1229,8603
Greatest Common Factor
We found the factors and prime factorization of 8602 and 8603. The biggest common factor number is the GCF number.
So the greatest common factor 8602 and 8603 is 1.
Also check out the Least Common Multiple of 8602 and 8603
(i) The GCF of 8602 and 8603 is associative
GCF of 8602 and 8603 = GCF of 8603 and 8602
1. What is the GCF of 8602 and 8603?
Answer: GCF of 8602 and 8603 is 1.
2. What are the Factors of 8602?
Answer: Factors of 8602 are 1, 2, 11, 17, 22, 23, 34, 46, 187, 253, 374, 391, 506, 782, 4301, 8602. There are 16 integers that are factors of 8602. The greatest factor of 8602 is 8602.
3. What are the Factors of 8603?
Answer: Factors of 8603 are 1, 7, 1229, 8603. There are 4 integers that are factors of 8603. The greatest factor of 8603 is 8603.
4. How to Find the GCF of 8602 and 8603?
Answer:
Greatest Common Factor of 8602 and 8603 = 1
Step 1: Find the prime factorization of 8602
8602 = 2 x 11 x 17 x 23
Step 2: Find the prime factorization of 8603
8603 = 7 x 1229
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 8602 and 8603 is 1