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 923, 931 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 923 and 931 is 1.
GCF(923,931) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 923
13 | 923 |
71 | 71 |
1 |
Prime factors of 923 are 13,71. Prime factorization of 923 in exponential form is:
923 = 131×711
Prime Factorization of 931
7 | 931 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 931 are 7,19. Prime factorization of 931 in exponential form is:
931 = 72×191
∴ So by taking common prime factors GCF of 923 and 931 is 1
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Greatest Common Factor
We found the factors and prime factorization of 923 and 931. The biggest common factor number is the GCF number.
So the greatest common factor 923 and 931 is 1.
Also check out the Least Common Multiple of 923 and 931
(i) The GCF of 923 and 931 is associative
GCF of 923 and 931 = GCF of 931 and 923
1. What is the GCF of 923 and 931?
Answer: GCF of 923 and 931 is 1.
2. What are the Factors of 923?
Answer: Factors of 923 are 1, 13, 71, 923. There are 4 integers that are factors of 923. The greatest factor of 923 is 923.
3. What are the Factors of 931?
Answer: Factors of 931 are 1, 7, 19, 49, 133, 931. There are 6 integers that are factors of 931. The greatest factor of 931 is 931.
4. How to Find the GCF of 923 and 931?
Answer:
Greatest Common Factor of 923 and 931 = 1
Step 1: Find the prime factorization of 923
923 = 13 x 71
Step 2: Find the prime factorization of 931
931 = 7 x 7 x 19
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 923 and 931 is 1