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, 8501 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8498 and 8501 is 1.
GCF(8498,8501) = 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 8501
8501 | 8501 |
1 |
Prime factors of 8501 are 8501. Prime factorization of 8501 in exponential form is:
8501 = 85011
∴ So by taking common prime factors GCF of 8498 and 8501 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 8501
List of positive integer factors of 8501 that divides 8501 without a remainder.
1,8501
Greatest Common Factor
We found the factors and prime factorization of 8498 and 8501. The biggest common factor number is the GCF number.
So the greatest common factor 8498 and 8501 is 1.
Also check out the Least Common Multiple of 8498 and 8501
(i) The GCF of 8498 and 8501 is associative
GCF of 8498 and 8501 = GCF of 8501 and 8498
1. What is the GCF of 8498 and 8501?
Answer: GCF of 8498 and 8501 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 8501?
Answer: Factors of 8501 are 1, 8501. There are 2 integers that are factors of 8501. The greatest factor of 8501 is 8501.
4. How to Find the GCF of 8498 and 8501?
Answer:
Greatest Common Factor of 8498 and 8501 = 1
Step 1: Find the prime factorization of 8498
8498 = 2 x 7 x 607
Step 2: Find the prime factorization of 8501
8501 = 8501
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 8501 is 1