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 8930, 8938 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8930 and 8938 is 2.
GCF(8930,8938) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8930
2 | 8930 |
5 | 4465 |
19 | 893 |
47 | 47 |
1 |
Prime factors of 8930 are 2,5,19,47. Prime factorization of 8930 in exponential form is:
8930 = 21×51×191×471
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 8930 and 8938 is 2
Factors of 8930
List of positive integer factors of 8930 that divides 8930 without a remainder.
1,2,5,10,19,38,47,94,95,190,235,470,893,1786,4465,8930
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 8930 and 8938. The biggest common factor number is the GCF number.
So the greatest common factor 8930 and 8938 is 2.
Also check out the Least Common Multiple of 8930 and 8938
(i) The GCF of 8930 and 8938 is associative
GCF of 8930 and 8938 = GCF of 8938 and 8930
1. What is the GCF of 8930 and 8938?
Answer: GCF of 8930 and 8938 is 2.
2. What are the Factors of 8930?
Answer: Factors of 8930 are 1, 2, 5, 10, 19, 38, 47, 94, 95, 190, 235, 470, 893, 1786, 4465, 8930. There are 16 integers that are factors of 8930. The greatest factor of 8930 is 8930.
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 8930 and 8938?
Answer:
Greatest Common Factor of 8930 and 8938 = 2
Step 1: Find the prime factorization of 8930
8930 = 2 x 5 x 19 x 47
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 8930 and 8938 is 2