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 3740, 3748 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3740 and 3748 is 4.
GCF(3740,3748) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3740
2 | 3740 |
2 | 1870 |
5 | 935 |
11 | 187 |
17 | 17 |
1 |
Prime factors of 3740 are 2,5,11,17. Prime factorization of 3740 in exponential form is:
3740 = 22×51×111×171
Prime Factorization of 3748
2 | 3748 |
2 | 1874 |
937 | 937 |
1 |
Prime factors of 3748 are 2,937. Prime factorization of 3748 in exponential form is:
3748 = 22×9371
∴ So by taking common prime factors GCF of 3740 and 3748 is 4
Factors of 3740
List of positive integer factors of 3740 that divides 3740 without a remainder.
1,2,4,5,10,11,17,20,22,34,44,55,68,85,110,170,187,220,340,374,748,935,1870,3740
Factors of 3748
List of positive integer factors of 3748 that divides 3748 without a remainder.
1,2,4,937,1874,3748
Greatest Common Factor
We found the factors and prime factorization of 3740 and 3748. The biggest common factor number is the GCF number.
So the greatest common factor 3740 and 3748 is 4.
Also check out the Least Common Multiple of 3740 and 3748
(i) The GCF of 3740 and 3748 is associative
GCF of 3740 and 3748 = GCF of 3748 and 3740
1. What is the GCF of 3740 and 3748?
Answer: GCF of 3740 and 3748 is 4.
2. What are the Factors of 3740?
Answer: Factors of 3740 are 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870, 3740. There are 24 integers that are factors of 3740. The greatest factor of 3740 is 3740.
3. What are the Factors of 3748?
Answer: Factors of 3748 are 1, 2, 4, 937, 1874, 3748. There are 6 integers that are factors of 3748. The greatest factor of 3748 is 3748.
4. How to Find the GCF of 3740 and 3748?
Answer:
Greatest Common Factor of 3740 and 3748 = 4
Step 1: Find the prime factorization of 3740
3740 = 2 x 2 x 5 x 11 x 17
Step 2: Find the prime factorization of 3748
3748 = 2 x 2 x 937
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 3740 and 3748 is 4