Greatest Common Factor of 3770 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 3770, 3776 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3770 and 3776 is 2.

GCF(3770,3776) = 2

GCF of 3770 and 3776

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

GCF of:
and

Greatest Common Factor of 3770 and 3776

GCF of 3770 and 3776 is 2

Prime Factorization of 3770


2 3770
5 1885
13 377
29 29
1

Prime factors of 3770 are 2,5,13,29. Prime factorization of 3770 in exponential form is:

3770 = 21×51×131×291

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 3770 and 3776 is 2

Greatest Common Factor of 3770 and 3776 by matching factors method

Factors of 3770

List of positive integer factors of 3770 that divides 3770 without a remainder.

1,2,5,10,13,26,29,58,65,130,145,290,377,754,1885,3770

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 3770 and 3776. The biggest common factor number is the GCF number.
So the greatest common factor 3770 and 3776 is 2.

Also check out the Least Common Multiple of 3770 and 3776

Properties of GCF 3770 and 3776

(i) The GCF of 3770 and 3776 is associative

GCF of 3770 and 3776 = GCF of 3776 and 3770

Related Greatest Common Factor of 3770

Related Greatest Common Factor of 3776

Frequently Asked Questions on GCF of 3770 and 3776

1. What is the GCF of 3770 and 3776?

Answer: GCF of 3770 and 3776 is 2.

2. What are the Factors of 3770?

Answer: Factors of 3770 are 1, 2, 5, 10, 13, 26, 29, 58, 65, 130, 145, 290, 377, 754, 1885, 3770. There are 16 integers that are factors of 3770. The greatest factor of 3770 is 3770.

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 3770 and 3776?

Answer:

Greatest Common Factor of 3770 and 3776 = 2

Step 1: Find the prime factorization of 3770

3770 = 2 x 5 x 13 x 29

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

Step 4: Therefore, the greatest common factor of 3770 and 3776 is 2