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 3926, 3930 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3926 and 3930 is 2.
GCF(3926,3930) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3926
2 | 3926 |
13 | 1963 |
151 | 151 |
1 |
Prime factors of 3926 are 2,13,151. Prime factorization of 3926 in exponential form is:
3926 = 21×131×1511
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
∴ So by taking common prime factors GCF of 3926 and 3930 is 2
Factors of 3926
List of positive integer factors of 3926 that divides 3926 without a remainder.
1,2,13,26,151,302,1963,3926
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
Greatest Common Factor
We found the factors and prime factorization of 3926 and 3930. The biggest common factor number is the GCF number.
So the greatest common factor 3926 and 3930 is 2.
Also check out the Least Common Multiple of 3926 and 3930
(i) The GCF of 3926 and 3930 is associative
GCF of 3926 and 3930 = GCF of 3930 and 3926
1. What is the GCF of 3926 and 3930?
Answer: GCF of 3926 and 3930 is 2.
2. What are the Factors of 3926?
Answer: Factors of 3926 are 1, 2, 13, 26, 151, 302, 1963, 3926. There are 8 integers that are factors of 3926. The greatest factor of 3926 is 3926.
3. 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.
4. How to Find the GCF of 3926 and 3930?
Answer:
Greatest Common Factor of 3926 and 3930 = 2
Step 1: Find the prime factorization of 3926
3926 = 2 x 13 x 151
Step 2: Find the prime factorization of 3930
3930 = 2 x 3 x 5 x 131
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 3926 and 3930 is 2