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 3918, 3922 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3918 and 3922 is 2.
GCF(3918,3922) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3918
2 | 3918 |
3 | 1959 |
653 | 653 |
1 |
Prime factors of 3918 are 2,3,653. Prime factorization of 3918 in exponential form is:
3918 = 21×31×6531
Prime Factorization of 3922
2 | 3922 |
37 | 1961 |
53 | 53 |
1 |
Prime factors of 3922 are 2,37,53. Prime factorization of 3922 in exponential form is:
3922 = 21×371×531
∴ So by taking common prime factors GCF of 3918 and 3922 is 2
Factors of 3918
List of positive integer factors of 3918 that divides 3918 without a remainder.
1,2,3,6,653,1306,1959,3918
Factors of 3922
List of positive integer factors of 3922 that divides 3922 without a remainder.
1,2,37,53,74,106,1961,3922
Greatest Common Factor
We found the factors and prime factorization of 3918 and 3922. The biggest common factor number is the GCF number.
So the greatest common factor 3918 and 3922 is 2.
Also check out the Least Common Multiple of 3918 and 3922
(i) The GCF of 3918 and 3922 is associative
GCF of 3918 and 3922 = GCF of 3922 and 3918
1. What is the GCF of 3918 and 3922?
Answer: GCF of 3918 and 3922 is 2.
2. What are the Factors of 3918?
Answer: Factors of 3918 are 1, 2, 3, 6, 653, 1306, 1959, 3918. There are 8 integers that are factors of 3918. The greatest factor of 3918 is 3918.
3. What are the Factors of 3922?
Answer: Factors of 3922 are 1, 2, 37, 53, 74, 106, 1961, 3922. There are 8 integers that are factors of 3922. The greatest factor of 3922 is 3922.
4. How to Find the GCF of 3918 and 3922?
Answer:
Greatest Common Factor of 3918 and 3922 = 2
Step 1: Find the prime factorization of 3918
3918 = 2 x 3 x 653
Step 2: Find the prime factorization of 3922
3922 = 2 x 37 x 53
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 3918 and 3922 is 2