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 912, 913 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 912 and 913 is 1.
GCF(912,913) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 912
2 | 912 |
2 | 456 |
2 | 228 |
2 | 114 |
3 | 57 |
19 | 19 |
1 |
Prime factors of 912 are 2,3,19. Prime factorization of 912 in exponential form is:
912 = 24×31×191
Prime Factorization of 913
11 | 913 |
83 | 83 |
1 |
Prime factors of 913 are 11,83. Prime factorization of 913 in exponential form is:
913 = 111×831
∴ So by taking common prime factors GCF of 912 and 913 is 1
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Greatest Common Factor
We found the factors and prime factorization of 912 and 913. The biggest common factor number is the GCF number.
So the greatest common factor 912 and 913 is 1.
Also check out the Least Common Multiple of 912 and 913
(i) The GCF of 912 and 913 is associative
GCF of 912 and 913 = GCF of 913 and 912
1. What is the GCF of 912 and 913?
Answer: GCF of 912 and 913 is 1.
2. What are the Factors of 912?
Answer: Factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912. There are 20 integers that are factors of 912. The greatest factor of 912 is 912.
3. What are the Factors of 913?
Answer: Factors of 913 are 1, 11, 83, 913. There are 4 integers that are factors of 913. The greatest factor of 913 is 913.
4. How to Find the GCF of 912 and 913?
Answer:
Greatest Common Factor of 912 and 913 = 1
Step 1: Find the prime factorization of 912
912 = 2 x 2 x 2 x 2 x 3 x 19
Step 2: Find the prime factorization of 913
913 = 11 x 83
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 912 and 913 is 1