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 910, 915 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 910 and 915 is 5.
GCF(910,915) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 910
2 | 910 |
5 | 455 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 910 are 2,5,7,13. Prime factorization of 910 in exponential form is:
910 = 21×51×71×131
Prime Factorization of 915
3 | 915 |
5 | 305 |
61 | 61 |
1 |
Prime factors of 915 are 3,5,61. Prime factorization of 915 in exponential form is:
915 = 31×51×611
∴ So by taking common prime factors GCF of 910 and 915 is 5
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors and prime factorization of 910 and 915. The biggest common factor number is the GCF number.
So the greatest common factor 910 and 915 is 5.
Also check out the Least Common Multiple of 910 and 915
(i) The GCF of 910 and 915 is associative
GCF of 910 and 915 = GCF of 915 and 910
1. What is the GCF of 910 and 915?
Answer: GCF of 910 and 915 is 5.
2. What are the Factors of 910?
Answer: Factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910. There are 16 integers that are factors of 910. The greatest factor of 910 is 910.
3. What are the Factors of 915?
Answer: Factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915. There are 8 integers that are factors of 915. The greatest factor of 915 is 915.
4. How to Find the GCF of 910 and 915?
Answer:
Greatest Common Factor of 910 and 915 = 5
Step 1: Find the prime factorization of 910
910 = 2 x 5 x 7 x 13
Step 2: Find the prime factorization of 915
915 = 3 x 5 x 61
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 910 and 915 is 5