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 8498, 8499 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8498 and 8499 is 1.
GCF(8498,8499) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8498
2 | 8498 |
7 | 4249 |
607 | 607 |
1 |
Prime factors of 8498 are 2,7,607. Prime factorization of 8498 in exponential form is:
8498 = 21×71×6071
Prime Factorization of 8499
3 | 8499 |
2833 | 2833 |
1 |
Prime factors of 8499 are 3,2833. Prime factorization of 8499 in exponential form is:
8499 = 31×28331
∴ So by taking common prime factors GCF of 8498 and 8499 is 1
Factors of 8498
List of positive integer factors of 8498 that divides 8498 without a remainder.
1,2,7,14,607,1214,4249,8498
Factors of 8499
List of positive integer factors of 8499 that divides 8499 without a remainder.
1,3,2833,8499
Greatest Common Factor
We found the factors and prime factorization of 8498 and 8499. The biggest common factor number is the GCF number.
So the greatest common factor 8498 and 8499 is 1.
Also check out the Least Common Multiple of 8498 and 8499
(i) The GCF of 8498 and 8499 is associative
GCF of 8498 and 8499 = GCF of 8499 and 8498
1. What is the GCF of 8498 and 8499?
Answer: GCF of 8498 and 8499 is 1.
2. What are the Factors of 8498?
Answer: Factors of 8498 are 1, 2, 7, 14, 607, 1214, 4249, 8498. There are 8 integers that are factors of 8498. The greatest factor of 8498 is 8498.
3. What are the Factors of 8499?
Answer: Factors of 8499 are 1, 3, 2833, 8499. There are 4 integers that are factors of 8499. The greatest factor of 8499 is 8499.
4. How to Find the GCF of 8498 and 8499?
Answer:
Greatest Common Factor of 8498 and 8499 = 1
Step 1: Find the prime factorization of 8498
8498 = 2 x 7 x 607
Step 2: Find the prime factorization of 8499
8499 = 3 x 2833
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 8498 and 8499 is 1