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 8824, 8831 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8824 and 8831 is 1.
GCF(8824,8831) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8824
2 | 8824 |
2 | 4412 |
2 | 2206 |
1103 | 1103 |
1 |
Prime factors of 8824 are 2,1103. Prime factorization of 8824 in exponential form is:
8824 = 23×11031
Prime Factorization of 8831
8831 | 8831 |
1 |
Prime factors of 8831 are 8831. Prime factorization of 8831 in exponential form is:
8831 = 88311
∴ So by taking common prime factors GCF of 8824 and 8831 is 1
Factors of 8824
List of positive integer factors of 8824 that divides 8824 without a remainder.
1,2,4,8,1103,2206,4412,8824
Factors of 8831
List of positive integer factors of 8831 that divides 8831 without a remainder.
1,8831
Greatest Common Factor
We found the factors and prime factorization of 8824 and 8831. The biggest common factor number is the GCF number.
So the greatest common factor 8824 and 8831 is 1.
Also check out the Least Common Multiple of 8824 and 8831
(i) The GCF of 8824 and 8831 is associative
GCF of 8824 and 8831 = GCF of 8831 and 8824
1. What is the GCF of 8824 and 8831?
Answer: GCF of 8824 and 8831 is 1.
2. What are the Factors of 8824?
Answer: Factors of 8824 are 1, 2, 4, 8, 1103, 2206, 4412, 8824. There are 8 integers that are factors of 8824. The greatest factor of 8824 is 8824.
3. What are the Factors of 8831?
Answer: Factors of 8831 are 1, 8831. There are 2 integers that are factors of 8831. The greatest factor of 8831 is 8831.
4. How to Find the GCF of 8824 and 8831?
Answer:
Greatest Common Factor of 8824 and 8831 = 1
Step 1: Find the prime factorization of 8824
8824 = 2 x 2 x 2 x 1103
Step 2: Find the prime factorization of 8831
8831 = 8831
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 8824 and 8831 is 1