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 3718, 3722 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3718 and 3722 is 2.
GCF(3718,3722) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3718
2 | 3718 |
11 | 1859 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 3718 are 2,11,13. Prime factorization of 3718 in exponential form is:
3718 = 21×111×132
Prime Factorization of 3722
2 | 3722 |
1861 | 1861 |
1 |
Prime factors of 3722 are 2,1861. Prime factorization of 3722 in exponential form is:
3722 = 21×18611
∴ So by taking common prime factors GCF of 3718 and 3722 is 2
Factors of 3718
List of positive integer factors of 3718 that divides 3718 without a remainder.
1,2,11,13,22,26,143,169,286,338,1859,3718
Factors of 3722
List of positive integer factors of 3722 that divides 3722 without a remainder.
1,2,1861,3722
Greatest Common Factor
We found the factors and prime factorization of 3718 and 3722. The biggest common factor number is the GCF number.
So the greatest common factor 3718 and 3722 is 2.
Also check out the Least Common Multiple of 3718 and 3722
(i) The GCF of 3718 and 3722 is associative
GCF of 3718 and 3722 = GCF of 3722 and 3718
1. What is the GCF of 3718 and 3722?
Answer: GCF of 3718 and 3722 is 2.
2. What are the Factors of 3718?
Answer: Factors of 3718 are 1, 2, 11, 13, 22, 26, 143, 169, 286, 338, 1859, 3718. There are 12 integers that are factors of 3718. The greatest factor of 3718 is 3718.
3. What are the Factors of 3722?
Answer: Factors of 3722 are 1, 2, 1861, 3722. There are 4 integers that are factors of 3722. The greatest factor of 3722 is 3722.
4. How to Find the GCF of 3718 and 3722?
Answer:
Greatest Common Factor of 3718 and 3722 = 2
Step 1: Find the prime factorization of 3718
3718 = 2 x 11 x 13 x 13
Step 2: Find the prime factorization of 3722
3722 = 2 x 1861
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 3718 and 3722 is 2