Greatest Common Factor of 3760 and 3768

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 3760, 3768 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3760 and 3768 is 8.

GCF(3760,3768) = 8

GCF of 3760 and 3768

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3760 and 3768

GCF of 3760 and 3768 is 8

Prime Factorization of 3760


2 3760
2 1880
2 940
2 470
5 235
47 47
1

Prime factors of 3760 are 2,5,47. Prime factorization of 3760 in exponential form is:

3760 = 24×51×471

Prime Factorization of 3768


2 3768
2 1884
2 942
3 471
157 157
1

Prime factors of 3768 are 2,3,157. Prime factorization of 3768 in exponential form is:

3768 = 23×31×1571

∴ So by taking common prime factors GCF of 3760 and 3768 is 8

Greatest Common Factor of 3760 and 3768 by matching factors method

Factors of 3760

List of positive integer factors of 3760 that divides 3760 without a remainder.

1,2,4,5,8,10,16,20,40,47,80,94,188,235,376,470,752,940,1880,3760

Factors of 3768

List of positive integer factors of 3768 that divides 3768 without a remainder.

1,2,3,4,6,8,12,24,157,314,471,628,942,1256,1884,3768

Greatest Common Factor

We found the factors and prime factorization of 3760 and 3768. The biggest common factor number is the GCF number.
So the greatest common factor 3760 and 3768 is 8.

Also check out the Least Common Multiple of 3760 and 3768

Properties of GCF 3760 and 3768

(i) The GCF of 3760 and 3768 is associative

GCF of 3760 and 3768 = GCF of 3768 and 3760

Frequently Asked Questions on GCF of 3760 and 3768

1. What is the GCF of 3760 and 3768?

Answer: GCF of 3760 and 3768 is 8.

2. What are the Factors of 3760?

Answer: Factors of 3760 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880, 3760. There are 20 integers that are factors of 3760. The greatest factor of 3760 is 3760.

3. What are the Factors of 3768?

Answer: Factors of 3768 are 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768. There are 16 integers that are factors of 3768. The greatest factor of 3768 is 3768.

4. How to Find the GCF of 3760 and 3768?

Answer:

Greatest Common Factor of 3760 and 3768 = 8

Step 1: Find the prime factorization of 3760

3760 = 2 x 2 x 2 x 2 x 5 x 47

Step 2: Find the prime factorization of 3768

3768 = 2 x 2 x 2 x 3 x 157

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3760 and 3768 is 8