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 8792, 8793 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8792 and 8793 is 1.
GCF(8792,8793) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8792
2 | 8792 |
2 | 4396 |
2 | 2198 |
7 | 1099 |
157 | 157 |
1 |
Prime factors of 8792 are 2,7,157. Prime factorization of 8792 in exponential form is:
8792 = 23×71×1571
Prime Factorization of 8793
3 | 8793 |
3 | 2931 |
977 | 977 |
1 |
Prime factors of 8793 are 3,977. Prime factorization of 8793 in exponential form is:
8793 = 32×9771
∴ So by taking common prime factors GCF of 8792 and 8793 is 1
Factors of 8792
List of positive integer factors of 8792 that divides 8792 without a remainder.
1,2,4,7,8,14,28,56,157,314,628,1099,1256,2198,4396,8792
Factors of 8793
List of positive integer factors of 8793 that divides 8793 without a remainder.
1,3,9,977,2931,8793
Greatest Common Factor
We found the factors and prime factorization of 8792 and 8793. The biggest common factor number is the GCF number.
So the greatest common factor 8792 and 8793 is 1.
Also check out the Least Common Multiple of 8792 and 8793
(i) The GCF of 8792 and 8793 is associative
GCF of 8792 and 8793 = GCF of 8793 and 8792
1. What is the GCF of 8792 and 8793?
Answer: GCF of 8792 and 8793 is 1.
2. What are the Factors of 8792?
Answer: Factors of 8792 are 1, 2, 4, 7, 8, 14, 28, 56, 157, 314, 628, 1099, 1256, 2198, 4396, 8792. There are 16 integers that are factors of 8792. The greatest factor of 8792 is 8792.
3. What are the Factors of 8793?
Answer: Factors of 8793 are 1, 3, 9, 977, 2931, 8793. There are 6 integers that are factors of 8793. The greatest factor of 8793 is 8793.
4. How to Find the GCF of 8792 and 8793?
Answer:
Greatest Common Factor of 8792 and 8793 = 1
Step 1: Find the prime factorization of 8792
8792 = 2 x 2 x 2 x 7 x 157
Step 2: Find the prime factorization of 8793
8793 = 3 x 3 x 977
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 8792 and 8793 is 1