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 3930, 3936 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3930 and 3936 is 6.
GCF(3930,3936) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3930
2 | 3930 |
3 | 1965 |
5 | 655 |
131 | 131 |
1 |
Prime factors of 3930 are 2,3,5,131. Prime factorization of 3930 in exponential form is:
3930 = 21×31×51×1311
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 3930 and 3936 is 6
Factors of 3930
List of positive integer factors of 3930 that divides 3930 without a remainder.
1,2,3,5,6,10,15,30,131,262,393,655,786,1310,1965,3930
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 3930 and 3936. The biggest common factor number is the GCF number.
So the greatest common factor 3930 and 3936 is 6.
Also check out the Least Common Multiple of 3930 and 3936
(i) The GCF of 3930 and 3936 is associative
GCF of 3930 and 3936 = GCF of 3936 and 3930
1. What is the GCF of 3930 and 3936?
Answer: GCF of 3930 and 3936 is 6.
2. What are the Factors of 3930?
Answer: Factors of 3930 are 1, 2, 3, 5, 6, 10, 15, 30, 131, 262, 393, 655, 786, 1310, 1965, 3930. There are 16 integers that are factors of 3930. The greatest factor of 3930 is 3930.
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 3930 and 3936?
Answer:
Greatest Common Factor of 3930 and 3936 = 6
Step 1: Find the prime factorization of 3930
3930 = 2 x 3 x 5 x 131
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 = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 3930 and 3936 is 6