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 3801, 3807 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3801 and 3807 is 3.
GCF(3801,3807) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3801
3 | 3801 |
7 | 1267 |
181 | 181 |
1 |
Prime factors of 3801 are 3,7,181. Prime factorization of 3801 in exponential form is:
3801 = 31×71×1811
Prime Factorization of 3807
3 | 3807 |
3 | 1269 |
3 | 423 |
3 | 141 |
47 | 47 |
1 |
Prime factors of 3807 are 3,47. Prime factorization of 3807 in exponential form is:
3807 = 34×471
∴ So by taking common prime factors GCF of 3801 and 3807 is 3
Factors of 3801
List of positive integer factors of 3801 that divides 3801 without a remainder.
1,3,7,21,181,543,1267,3801
Factors of 3807
List of positive integer factors of 3807 that divides 3807 without a remainder.
1,3,9,27,47,81,141,423,1269,3807
Greatest Common Factor
We found the factors and prime factorization of 3801 and 3807. The biggest common factor number is the GCF number.
So the greatest common factor 3801 and 3807 is 3.
Also check out the Least Common Multiple of 3801 and 3807
(i) The GCF of 3801 and 3807 is associative
GCF of 3801 and 3807 = GCF of 3807 and 3801
1. What is the GCF of 3801 and 3807?
Answer: GCF of 3801 and 3807 is 3.
2. What are the Factors of 3801?
Answer: Factors of 3801 are 1, 3, 7, 21, 181, 543, 1267, 3801. There are 8 integers that are factors of 3801. The greatest factor of 3801 is 3801.
3. What are the Factors of 3807?
Answer: Factors of 3807 are 1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807. There are 10 integers that are factors of 3807. The greatest factor of 3807 is 3807.
4. How to Find the GCF of 3801 and 3807?
Answer:
Greatest Common Factor of 3801 and 3807 = 3
Step 1: Find the prime factorization of 3801
3801 = 3 x 7 x 181
Step 2: Find the prime factorization of 3807
3807 = 3 x 3 x 3 x 3 x 47
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 3801 and 3807 is 3