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 3921, 3924 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3921 and 3924 is 3.
GCF(3921,3924) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3921
3 | 3921 |
1307 | 1307 |
1 |
Prime factors of 3921 are 3,1307. Prime factorization of 3921 in exponential form is:
3921 = 31×13071
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 3921 and 3924 is 3
Factors of 3921
List of positive integer factors of 3921 that divides 3921 without a remainder.
1,3,1307,3921
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 3921 and 3924. The biggest common factor number is the GCF number.
So the greatest common factor 3921 and 3924 is 3.
Also check out the Least Common Multiple of 3921 and 3924
(i) The GCF of 3921 and 3924 is associative
GCF of 3921 and 3924 = GCF of 3924 and 3921
1. What is the GCF of 3921 and 3924?
Answer: GCF of 3921 and 3924 is 3.
2. What are the Factors of 3921?
Answer: Factors of 3921 are 1, 3, 1307, 3921. There are 4 integers that are factors of 3921. The greatest factor of 3921 is 3921.
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 3921 and 3924?
Answer:
Greatest Common Factor of 3921 and 3924 = 3
Step 1: Find the prime factorization of 3921
3921 = 3 x 1307
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 = 3
Step 4: Therefore, the greatest common factor of 3921 and 3924 is 3