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 3759, 3763 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3759 and 3763 is 1.
GCF(3759,3763) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3759
3 | 3759 |
7 | 1253 |
179 | 179 |
1 |
Prime factors of 3759 are 3,7,179. Prime factorization of 3759 in exponential form is:
3759 = 31×71×1791
Prime Factorization of 3763
53 | 3763 |
71 | 71 |
1 |
Prime factors of 3763 are 53,71. Prime factorization of 3763 in exponential form is:
3763 = 531×711
∴ So by taking common prime factors GCF of 3759 and 3763 is 1
Factors of 3759
List of positive integer factors of 3759 that divides 3759 without a remainder.
1,3,7,21,179,537,1253,3759
Factors of 3763
List of positive integer factors of 3763 that divides 3763 without a remainder.
1,53,71,3763
Greatest Common Factor
We found the factors and prime factorization of 3759 and 3763. The biggest common factor number is the GCF number.
So the greatest common factor 3759 and 3763 is 1.
Also check out the Least Common Multiple of 3759 and 3763
(i) The GCF of 3759 and 3763 is associative
GCF of 3759 and 3763 = GCF of 3763 and 3759
1. What is the GCF of 3759 and 3763?
Answer: GCF of 3759 and 3763 is 1.
2. What are the Factors of 3759?
Answer: Factors of 3759 are 1, 3, 7, 21, 179, 537, 1253, 3759. There are 8 integers that are factors of 3759. The greatest factor of 3759 is 3759.
3. What are the Factors of 3763?
Answer: Factors of 3763 are 1, 53, 71, 3763. There are 4 integers that are factors of 3763. The greatest factor of 3763 is 3763.
4. How to Find the GCF of 3759 and 3763?
Answer:
Greatest Common Factor of 3759 and 3763 = 1
Step 1: Find the prime factorization of 3759
3759 = 3 x 7 x 179
Step 2: Find the prime factorization of 3763
3763 = 53 x 71
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 3759 and 3763 is 1