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 908, 911 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 908 and 911 is 1.
GCF(908,911) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 908
2 | 908 |
2 | 454 |
227 | 227 |
1 |
Prime factors of 908 are 2,227. Prime factorization of 908 in exponential form is:
908 = 22×2271
Prime Factorization of 911
911 | 911 |
1 |
Prime factors of 911 are 911. Prime factorization of 911 in exponential form is:
911 = 9111
∴ So by taking common prime factors GCF of 908 and 911 is 1
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Greatest Common Factor
We found the factors and prime factorization of 908 and 911. The biggest common factor number is the GCF number.
So the greatest common factor 908 and 911 is 1.
Also check out the Least Common Multiple of 908 and 911
(i) The GCF of 908 and 911 is associative
GCF of 908 and 911 = GCF of 911 and 908
1. What is the GCF of 908 and 911?
Answer: GCF of 908 and 911 is 1.
2. What are the Factors of 908?
Answer: Factors of 908 are 1, 2, 4, 227, 454, 908. There are 6 integers that are factors of 908. The greatest factor of 908 is 908.
3. What are the Factors of 911?
Answer: Factors of 911 are 1, 911. There are 2 integers that are factors of 911. The greatest factor of 911 is 911.
4. How to Find the GCF of 908 and 911?
Answer:
Greatest Common Factor of 908 and 911 = 1
Step 1: Find the prime factorization of 908
908 = 2 x 2 x 227
Step 2: Find the prime factorization of 911
911 = 911
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 908 and 911 is 1