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 3933, 3936 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3933 and 3936 is 3.
GCF(3933,3936) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3933
3 | 3933 |
3 | 1311 |
19 | 437 |
23 | 23 |
1 |
Prime factors of 3933 are 3,19,23. Prime factorization of 3933 in exponential form is:
3933 = 32×191×231
Prime Factorization of 3936
2 | 3936 |
2 | 1968 |
2 | 984 |
2 | 492 |
2 | 246 |
3 | 123 |
41 | 41 |
1 |
Prime factors of 3936 are 2,3,41. Prime factorization of 3936 in exponential form is:
3936 = 25×31×411
∴ So by taking common prime factors GCF of 3933 and 3936 is 3
Factors of 3933
List of positive integer factors of 3933 that divides 3933 without a remainder.
1,3,9,19,23,57,69,171,207,437,1311,3933
Factors of 3936
List of positive integer factors of 3936 that divides 3936 without a remainder.
1,2,3,4,6,8,12,16,24,32,41,48,82,96,123,164,246,328,492,656,984,1312,1968,3936
Greatest Common Factor
We found the factors and prime factorization of 3933 and 3936. The biggest common factor number is the GCF number.
So the greatest common factor 3933 and 3936 is 3.
Also check out the Least Common Multiple of 3933 and 3936
(i) The GCF of 3933 and 3936 is associative
GCF of 3933 and 3936 = GCF of 3936 and 3933
1. What is the GCF of 3933 and 3936?
Answer: GCF of 3933 and 3936 is 3.
2. What are the Factors of 3933?
Answer: Factors of 3933 are 1, 3, 9, 19, 23, 57, 69, 171, 207, 437, 1311, 3933. There are 12 integers that are factors of 3933. The greatest factor of 3933 is 3933.
3. What are the Factors of 3936?
Answer: Factors of 3936 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 82, 96, 123, 164, 246, 328, 492, 656, 984, 1312, 1968, 3936. There are 24 integers that are factors of 3936. The greatest factor of 3936 is 3936.
4. How to Find the GCF of 3933 and 3936?
Answer:
Greatest Common Factor of 3933 and 3936 = 3
Step 1: Find the prime factorization of 3933
3933 = 3 x 3 x 19 x 23
Step 2: Find the prime factorization of 3936
3936 = 2 x 2 x 2 x 2 x 2 x 3 x 41
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 3933 and 3936 is 3