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 3916, 3924 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3916 and 3924 is 4.
GCF(3916,3924) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3916
2 | 3916 |
2 | 1958 |
11 | 979 |
89 | 89 |
1 |
Prime factors of 3916 are 2,11,89. Prime factorization of 3916 in exponential form is:
3916 = 22×111×891
Prime Factorization of 3924
2 | 3924 |
2 | 1962 |
3 | 981 |
3 | 327 |
109 | 109 |
1 |
Prime factors of 3924 are 2,3,109. Prime factorization of 3924 in exponential form is:
3924 = 22×32×1091
∴ So by taking common prime factors GCF of 3916 and 3924 is 4
Factors of 3916
List of positive integer factors of 3916 that divides 3916 without a remainder.
1,2,4,11,22,44,89,178,356,979,1958,3916
Factors of 3924
List of positive integer factors of 3924 that divides 3924 without a remainder.
1,2,3,4,6,9,12,18,36,109,218,327,436,654,981,1308,1962,3924
Greatest Common Factor
We found the factors and prime factorization of 3916 and 3924. The biggest common factor number is the GCF number.
So the greatest common factor 3916 and 3924 is 4.
Also check out the Least Common Multiple of 3916 and 3924
(i) The GCF of 3916 and 3924 is associative
GCF of 3916 and 3924 = GCF of 3924 and 3916
1. What is the GCF of 3916 and 3924?
Answer: GCF of 3916 and 3924 is 4.
2. What are the Factors of 3916?
Answer: Factors of 3916 are 1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916. There are 12 integers that are factors of 3916. The greatest factor of 3916 is 3916.
3. What are the Factors of 3924?
Answer: Factors of 3924 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962, 3924. There are 18 integers that are factors of 3924. The greatest factor of 3924 is 3924.
4. How to Find the GCF of 3916 and 3924?
Answer:
Greatest Common Factor of 3916 and 3924 = 4
Step 1: Find the prime factorization of 3916
3916 = 2 x 2 x 11 x 89
Step 2: Find the prime factorization of 3924
3924 = 2 x 2 x 3 x 3 x 109
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 3916 and 3924 is 4