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 3750, 3752 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3750 and 3752 is 2.
GCF(3750,3752) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3750
2 | 3750 |
3 | 1875 |
5 | 625 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 3750 are 2,3,5. Prime factorization of 3750 in exponential form is:
3750 = 21×31×54
Prime Factorization of 3752
2 | 3752 |
2 | 1876 |
2 | 938 |
7 | 469 |
67 | 67 |
1 |
Prime factors of 3752 are 2,7,67. Prime factorization of 3752 in exponential form is:
3752 = 23×71×671
∴ So by taking common prime factors GCF of 3750 and 3752 is 2
Factors of 3750
List of positive integer factors of 3750 that divides 3750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,625,750,1250,1875,3750
Factors of 3752
List of positive integer factors of 3752 that divides 3752 without a remainder.
1,2,4,7,8,14,28,56,67,134,268,469,536,938,1876,3752
Greatest Common Factor
We found the factors and prime factorization of 3750 and 3752. The biggest common factor number is the GCF number.
So the greatest common factor 3750 and 3752 is 2.
Also check out the Least Common Multiple of 3750 and 3752
(i) The GCF of 3750 and 3752 is associative
GCF of 3750 and 3752 = GCF of 3752 and 3750
1. What is the GCF of 3750 and 3752?
Answer: GCF of 3750 and 3752 is 2.
2. What are the Factors of 3750?
Answer: Factors of 3750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875, 3750. There are 20 integers that are factors of 3750. The greatest factor of 3750 is 3750.
3. What are the Factors of 3752?
Answer: Factors of 3752 are 1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876, 3752. There are 16 integers that are factors of 3752. The greatest factor of 3752 is 3752.
4. How to Find the GCF of 3750 and 3752?
Answer:
Greatest Common Factor of 3750 and 3752 = 2
Step 1: Find the prime factorization of 3750
3750 = 2 x 3 x 5 x 5 x 5 x 5
Step 2: Find the prime factorization of 3752
3752 = 2 x 2 x 2 x 7 x 67
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 3750 and 3752 is 2