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 3755, 3762 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3755 and 3762 is 1.
GCF(3755,3762) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3755
5 | 3755 |
751 | 751 |
1 |
Prime factors of 3755 are 5,751. Prime factorization of 3755 in exponential form is:
3755 = 51×7511
Prime Factorization of 3762
2 | 3762 |
3 | 1881 |
3 | 627 |
11 | 209 |
19 | 19 |
1 |
Prime factors of 3762 are 2,3,11,19. Prime factorization of 3762 in exponential form is:
3762 = 21×32×111×191
∴ So by taking common prime factors GCF of 3755 and 3762 is 1
Factors of 3755
List of positive integer factors of 3755 that divides 3755 without a remainder.
1,5,751,3755
Factors of 3762
List of positive integer factors of 3762 that divides 3762 without a remainder.
1,2,3,6,9,11,18,19,22,33,38,57,66,99,114,171,198,209,342,418,627,1254,1881,3762
Greatest Common Factor
We found the factors and prime factorization of 3755 and 3762. The biggest common factor number is the GCF number.
So the greatest common factor 3755 and 3762 is 1.
Also check out the Least Common Multiple of 3755 and 3762
(i) The GCF of 3755 and 3762 is associative
GCF of 3755 and 3762 = GCF of 3762 and 3755
1. What is the GCF of 3755 and 3762?
Answer: GCF of 3755 and 3762 is 1.
2. What are the Factors of 3755?
Answer: Factors of 3755 are 1, 5, 751, 3755. There are 4 integers that are factors of 3755. The greatest factor of 3755 is 3755.
3. What are the Factors of 3762?
Answer: Factors of 3762 are 1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881, 3762. There are 24 integers that are factors of 3762. The greatest factor of 3762 is 3762.
4. How to Find the GCF of 3755 and 3762?
Answer:
Greatest Common Factor of 3755 and 3762 = 1
Step 1: Find the prime factorization of 3755
3755 = 5 x 751
Step 2: Find the prime factorization of 3762
3762 = 2 x 3 x 3 x 11 x 19
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 3755 and 3762 is 1