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 927, 932 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 927 and 932 is 1.
GCF(927,932) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 927
3 | 927 |
3 | 309 |
103 | 103 |
1 |
Prime factors of 927 are 3,103. Prime factorization of 927 in exponential form is:
927 = 32×1031
Prime Factorization of 932
2 | 932 |
2 | 466 |
233 | 233 |
1 |
Prime factors of 932 are 2,233. Prime factorization of 932 in exponential form is:
932 = 22×2331
∴ So by taking common prime factors GCF of 927 and 932 is 1
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Greatest Common Factor
We found the factors and prime factorization of 927 and 932. The biggest common factor number is the GCF number.
So the greatest common factor 927 and 932 is 1.
Also check out the Least Common Multiple of 927 and 932
(i) The GCF of 927 and 932 is associative
GCF of 927 and 932 = GCF of 932 and 927
1. What is the GCF of 927 and 932?
Answer: GCF of 927 and 932 is 1.
2. What are the Factors of 927?
Answer: Factors of 927 are 1, 3, 9, 103, 309, 927. There are 6 integers that are factors of 927. The greatest factor of 927 is 927.
3. What are the Factors of 932?
Answer: Factors of 932 are 1, 2, 4, 233, 466, 932. There are 6 integers that are factors of 932. The greatest factor of 932 is 932.
4. How to Find the GCF of 927 and 932?
Answer:
Greatest Common Factor of 927 and 932 = 1
Step 1: Find the prime factorization of 927
927 = 3 x 3 x 103
Step 2: Find the prime factorization of 932
932 = 2 x 2 x 233
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 927 and 932 is 1