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 8830, 8838 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8830 and 8838 is 2.
GCF(8830,8838) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8830
2 | 8830 |
5 | 4415 |
883 | 883 |
1 |
Prime factors of 8830 are 2,5,883. Prime factorization of 8830 in exponential form is:
8830 = 21×51×8831
Prime Factorization of 8838
2 | 8838 |
3 | 4419 |
3 | 1473 |
491 | 491 |
1 |
Prime factors of 8838 are 2,3,491. Prime factorization of 8838 in exponential form is:
8838 = 21×32×4911
∴ So by taking common prime factors GCF of 8830 and 8838 is 2
Factors of 8830
List of positive integer factors of 8830 that divides 8830 without a remainder.
1,2,5,10,883,1766,4415,8830
Factors of 8838
List of positive integer factors of 8838 that divides 8838 without a remainder.
1,2,3,6,9,18,491,982,1473,2946,4419,8838
Greatest Common Factor
We found the factors and prime factorization of 8830 and 8838. The biggest common factor number is the GCF number.
So the greatest common factor 8830 and 8838 is 2.
Also check out the Least Common Multiple of 8830 and 8838
(i) The GCF of 8830 and 8838 is associative
GCF of 8830 and 8838 = GCF of 8838 and 8830
1. What is the GCF of 8830 and 8838?
Answer: GCF of 8830 and 8838 is 2.
2. What are the Factors of 8830?
Answer: Factors of 8830 are 1, 2, 5, 10, 883, 1766, 4415, 8830. There are 8 integers that are factors of 8830. The greatest factor of 8830 is 8830.
3. What are the Factors of 8838?
Answer: Factors of 8838 are 1, 2, 3, 6, 9, 18, 491, 982, 1473, 2946, 4419, 8838. There are 12 integers that are factors of 8838. The greatest factor of 8838 is 8838.
4. How to Find the GCF of 8830 and 8838?
Answer:
Greatest Common Factor of 8830 and 8838 = 2
Step 1: Find the prime factorization of 8830
8830 = 2 x 5 x 883
Step 2: Find the prime factorization of 8838
8838 = 2 x 3 x 3 x 491
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 8830 and 8838 is 2