Greatest Common Factor of 3768 and 3776

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 3768, 3776 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3768 and 3776 is 8.

GCF(3768,3776) = 8

GCF of 3768 and 3776

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

GCF of:
and

Greatest Common Factor of 3768 and 3776

GCF of 3768 and 3776 is 8

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

Prime Factorization of 3776


2 3776
2 1888
2 944
2 472
2 236
2 118
59 59
1

Prime factors of 3776 are 2,59. Prime factorization of 3776 in exponential form is:

3776 = 26×591

∴ So by taking common prime factors GCF of 3768 and 3776 is 8

Greatest Common Factor of 3768 and 3776 by matching factors method

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

Factors of 3776

List of positive integer factors of 3776 that divides 3776 without a remainder.

1,2,4,8,16,32,59,64,118,236,472,944,1888,3776

Greatest Common Factor

We found the factors and prime factorization of 3768 and 3776. The biggest common factor number is the GCF number.
So the greatest common factor 3768 and 3776 is 8.

Also check out the Least Common Multiple of 3768 and 3776

Properties of GCF 3768 and 3776

(i) The GCF of 3768 and 3776 is associative

GCF of 3768 and 3776 = GCF of 3776 and 3768

Related Greatest Common Factor of 3768

Related Greatest Common Factor of 3776

Frequently Asked Questions on GCF of 3768 and 3776

1. What is the GCF of 3768 and 3776?

Answer: GCF of 3768 and 3776 is 8.

2. 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.

3. What are the Factors of 3776?

Answer: Factors of 3776 are 1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888, 3776. There are 14 integers that are factors of 3776. The greatest factor of 3776 is 3776.

4. How to Find the GCF of 3768 and 3776?

Answer:

Greatest Common Factor of 3768 and 3776 = 8

Step 1: Find the prime factorization of 3768

3768 = 2 x 2 x 2 x 3 x 157

Step 2: Find the prime factorization of 3776

3776 = 2 x 2 x 2 x 2 x 2 x 2 x 59

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 3768 and 3776 is 8