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 8934, 8938 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8934 and 8938 is 2.
GCF(8934,8938) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8934
2 | 8934 |
3 | 4467 |
1489 | 1489 |
1 |
Prime factors of 8934 are 2,3,1489. Prime factorization of 8934 in exponential form is:
8934 = 21×31×14891
Prime Factorization of 8938
2 | 8938 |
41 | 4469 |
109 | 109 |
1 |
Prime factors of 8938 are 2,41,109. Prime factorization of 8938 in exponential form is:
8938 = 21×411×1091
∴ So by taking common prime factors GCF of 8934 and 8938 is 2
Factors of 8934
List of positive integer factors of 8934 that divides 8934 without a remainder.
1,2,3,6,1489,2978,4467,8934
Factors of 8938
List of positive integer factors of 8938 that divides 8938 without a remainder.
1,2,41,82,109,218,4469,8938
Greatest Common Factor
We found the factors and prime factorization of 8934 and 8938. The biggest common factor number is the GCF number.
So the greatest common factor 8934 and 8938 is 2.
Also check out the Least Common Multiple of 8934 and 8938
(i) The GCF of 8934 and 8938 is associative
GCF of 8934 and 8938 = GCF of 8938 and 8934
1. What is the GCF of 8934 and 8938?
Answer: GCF of 8934 and 8938 is 2.
2. What are the Factors of 8934?
Answer: Factors of 8934 are 1, 2, 3, 6, 1489, 2978, 4467, 8934. There are 8 integers that are factors of 8934. The greatest factor of 8934 is 8934.
3. What are the Factors of 8938?
Answer: Factors of 8938 are 1, 2, 41, 82, 109, 218, 4469, 8938. There are 8 integers that are factors of 8938. The greatest factor of 8938 is 8938.
4. How to Find the GCF of 8934 and 8938?
Answer:
Greatest Common Factor of 8934 and 8938 = 2
Step 1: Find the prime factorization of 8934
8934 = 2 x 3 x 1489
Step 2: Find the prime factorization of 8938
8938 = 2 x 41 x 109
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 8934 and 8938 is 2