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 904, 905 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 904 and 905 is 1.
GCF(904,905) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 904
2 | 904 |
2 | 452 |
2 | 226 |
113 | 113 |
1 |
Prime factors of 904 are 2,113. Prime factorization of 904 in exponential form is:
904 = 23×1131
Prime Factorization of 905
5 | 905 |
181 | 181 |
1 |
Prime factors of 905 are 5,181. Prime factorization of 905 in exponential form is:
905 = 51×1811
∴ So by taking common prime factors GCF of 904 and 905 is 1
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Greatest Common Factor
We found the factors and prime factorization of 904 and 905. The biggest common factor number is the GCF number.
So the greatest common factor 904 and 905 is 1.
Also check out the Least Common Multiple of 904 and 905
(i) The GCF of 904 and 905 is associative
GCF of 904 and 905 = GCF of 905 and 904
1. What is the GCF of 904 and 905?
Answer: GCF of 904 and 905 is 1.
2. What are the Factors of 904?
Answer: Factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904. There are 8 integers that are factors of 904. The greatest factor of 904 is 904.
3. What are the Factors of 905?
Answer: Factors of 905 are 1, 5, 181, 905. There are 4 integers that are factors of 905. The greatest factor of 905 is 905.
4. How to Find the GCF of 904 and 905?
Answer:
Greatest Common Factor of 904 and 905 = 1
Step 1: Find the prime factorization of 904
904 = 2 x 2 x 2 x 113
Step 2: Find the prime factorization of 905
905 = 5 x 181
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 904 and 905 is 1