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 8836, 8841 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8836 and 8841 is 1.
GCF(8836,8841) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8836
2 | 8836 |
2 | 4418 |
47 | 2209 |
47 | 47 |
1 |
Prime factors of 8836 are 2,47. Prime factorization of 8836 in exponential form is:
8836 = 22×472
Prime Factorization of 8841
3 | 8841 |
7 | 2947 |
421 | 421 |
1 |
Prime factors of 8841 are 3,7,421. Prime factorization of 8841 in exponential form is:
8841 = 31×71×4211
∴ So by taking common prime factors GCF of 8836 and 8841 is 1
Factors of 8836
List of positive integer factors of 8836 that divides 8836 without a remainder.
1,2,4,47,94,188,2209,4418,8836
Factors of 8841
List of positive integer factors of 8841 that divides 8841 without a remainder.
1,3,7,21,421,1263,2947,8841
Greatest Common Factor
We found the factors and prime factorization of 8836 and 8841. The biggest common factor number is the GCF number.
So the greatest common factor 8836 and 8841 is 1.
Also check out the Least Common Multiple of 8836 and 8841
(i) The GCF of 8836 and 8841 is associative
GCF of 8836 and 8841 = GCF of 8841 and 8836
1. What is the GCF of 8836 and 8841?
Answer: GCF of 8836 and 8841 is 1.
2. What are the Factors of 8836?
Answer: Factors of 8836 are 1, 2, 4, 47, 94, 188, 2209, 4418, 8836. There are 9 integers that are factors of 8836. The greatest factor of 8836 is 8836.
3. What are the Factors of 8841?
Answer: Factors of 8841 are 1, 3, 7, 21, 421, 1263, 2947, 8841. There are 8 integers that are factors of 8841. The greatest factor of 8841 is 8841.
4. How to Find the GCF of 8836 and 8841?
Answer:
Greatest Common Factor of 8836 and 8841 = 1
Step 1: Find the prime factorization of 8836
8836 = 2 x 2 x 47 x 47
Step 2: Find the prime factorization of 8841
8841 = 3 x 7 x 421
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 8836 and 8841 is 1