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 8598, 8601 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8598 and 8601 is 3.
GCF(8598,8601) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8598
2 | 8598 |
3 | 4299 |
1433 | 1433 |
1 |
Prime factors of 8598 are 2,3,1433. Prime factorization of 8598 in exponential form is:
8598 = 21×31×14331
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
∴ So by taking common prime factors GCF of 8598 and 8601 is 3
Factors of 8598
List of positive integer factors of 8598 that divides 8598 without a remainder.
1,2,3,6,1433,2866,4299,8598
Factors of 8601
List of positive integer factors of 8601 that divides 8601 without a remainder.
1,3,47,61,141,183,2867,8601
Greatest Common Factor
We found the factors and prime factorization of 8598 and 8601. The biggest common factor number is the GCF number.
So the greatest common factor 8598 and 8601 is 3.
Also check out the Least Common Multiple of 8598 and 8601
(i) The GCF of 8598 and 8601 is associative
GCF of 8598 and 8601 = GCF of 8601 and 8598
1. What is the GCF of 8598 and 8601?
Answer: GCF of 8598 and 8601 is 3.
2. What are the Factors of 8598?
Answer: Factors of 8598 are 1, 2, 3, 6, 1433, 2866, 4299, 8598. There are 8 integers that are factors of 8598. The greatest factor of 8598 is 8598.
3. 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.
4. How to Find the GCF of 8598 and 8601?
Answer:
Greatest Common Factor of 8598 and 8601 = 3
Step 1: Find the prime factorization of 8598
8598 = 2 x 3 x 1433
Step 2: Find the prime factorization of 8601
8601 = 3 x 47 x 61
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 8598 and 8601 is 3