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 3772, 3773 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3772 and 3773 is 1.
GCF(3772,3773) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3772
2 | 3772 |
2 | 1886 |
23 | 943 |
41 | 41 |
1 |
Prime factors of 3772 are 2,23,41. Prime factorization of 3772 in exponential form is:
3772 = 22×231×411
Prime Factorization of 3773
7 | 3773 |
7 | 539 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 3773 are 7,11. Prime factorization of 3773 in exponential form is:
3773 = 73×111
∴ So by taking common prime factors GCF of 3772 and 3773 is 1
Factors of 3772
List of positive integer factors of 3772 that divides 3772 without a remainder.
1,2,4,23,41,46,82,92,164,943,1886,3772
Factors of 3773
List of positive integer factors of 3773 that divides 3773 without a remainder.
1,7,11,49,77,343,539,3773
Greatest Common Factor
We found the factors and prime factorization of 3772 and 3773. The biggest common factor number is the GCF number.
So the greatest common factor 3772 and 3773 is 1.
Also check out the Least Common Multiple of 3772 and 3773
(i) The GCF of 3772 and 3773 is associative
GCF of 3772 and 3773 = GCF of 3773 and 3772
1. What is the GCF of 3772 and 3773?
Answer: GCF of 3772 and 3773 is 1.
2. What are the Factors of 3772?
Answer: Factors of 3772 are 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772. There are 12 integers that are factors of 3772. The greatest factor of 3772 is 3772.
3. What are the Factors of 3773?
Answer: Factors of 3773 are 1, 7, 11, 49, 77, 343, 539, 3773. There are 8 integers that are factors of 3773. The greatest factor of 3773 is 3773.
4. How to Find the GCF of 3772 and 3773?
Answer:
Greatest Common Factor of 3772 and 3773 = 1
Step 1: Find the prime factorization of 3772
3772 = 2 x 2 x 23 x 41
Step 2: Find the prime factorization of 3773
3773 = 7 x 7 x 7 x 11
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 3772 and 3773 is 1