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, 3928 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3921 and 3928 is 1.
GCF(3921,3928) = 1
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 3928
2 | 3928 |
2 | 1964 |
2 | 982 |
491 | 491 |
1 |
Prime factors of 3928 are 2,491. Prime factorization of 3928 in exponential form is:
3928 = 23×4911
∴ So by taking common prime factors GCF of 3921 and 3928 is 1
Factors of 3921
List of positive integer factors of 3921 that divides 3921 without a remainder.
1,3,1307,3921
Factors of 3928
List of positive integer factors of 3928 that divides 3928 without a remainder.
1,2,4,8,491,982,1964,3928
Greatest Common Factor
We found the factors and prime factorization of 3921 and 3928. The biggest common factor number is the GCF number.
So the greatest common factor 3921 and 3928 is 1.
Also check out the Least Common Multiple of 3921 and 3928
(i) The GCF of 3921 and 3928 is associative
GCF of 3921 and 3928 = GCF of 3928 and 3921
1. What is the GCF of 3921 and 3928?
Answer: GCF of 3921 and 3928 is 1.
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 3928?
Answer: Factors of 3928 are 1, 2, 4, 8, 491, 982, 1964, 3928. There are 8 integers that are factors of 3928. The greatest factor of 3928 is 3928.
4. How to Find the GCF of 3921 and 3928?
Answer:
Greatest Common Factor of 3921 and 3928 = 1
Step 1: Find the prime factorization of 3921
3921 = 3 x 1307
Step 2: Find the prime factorization of 3928
3928 = 2 x 2 x 2 x 491
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 3921 and 3928 is 1