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 924, 932 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 924 and 932 is 4.
GCF(924,932) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 924
2 | 924 |
2 | 462 |
3 | 231 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 924 are 2,3,7,11. Prime factorization of 924 in exponential form is:
924 = 22×31×71×111
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 924 and 932 is 4
Factors of 924
List of positive integer factors of 924 that divides 924 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
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 924 and 932. The biggest common factor number is the GCF number.
So the greatest common factor 924 and 932 is 4.
Also check out the Least Common Multiple of 924 and 932
(i) The GCF of 924 and 932 is associative
GCF of 924 and 932 = GCF of 932 and 924
1. What is the GCF of 924 and 932?
Answer: GCF of 924 and 932 is 4.
2. What are the Factors of 924?
Answer: Factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924. There are 24 integers that are factors of 924. The greatest factor of 924 is 924.
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 924 and 932?
Answer:
Greatest Common Factor of 924 and 932 = 4
Step 1: Find the prime factorization of 924
924 = 2 x 2 x 3 x 7 x 11
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 = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 924 and 932 is 4