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 8601, 8603 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8601 and 8603 is 1.
GCF(8601,8603) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8601
3 | 8601 |
47 | 2867 |
61 | 61 |
1 |
Prime factors of 8601 are 3,47,61. Prime factorization of 8601 in exponential form is:
8601 = 31×471×611
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 8601 and 8603 is 1
Factors of 8601
List of positive integer factors of 8601 that divides 8601 without a remainder.
1,3,47,61,141,183,2867,8601
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 8601 and 8603. The biggest common factor number is the GCF number.
So the greatest common factor 8601 and 8603 is 1.
Also check out the Least Common Multiple of 8601 and 8603
(i) The GCF of 8601 and 8603 is associative
GCF of 8601 and 8603 = GCF of 8603 and 8601
1. What is the GCF of 8601 and 8603?
Answer: GCF of 8601 and 8603 is 1.
2. What are the Factors of 8601?
Answer: Factors of 8601 are 1, 3, 47, 61, 141, 183, 2867, 8601. There are 8 integers that are factors of 8601. The greatest factor of 8601 is 8601.
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 8601 and 8603?
Answer:
Greatest Common Factor of 8601 and 8603 = 1
Step 1: Find the prime factorization of 8601
8601 = 3 x 47 x 61
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 8601 and 8603 is 1