Greatest Common Factor of 3786 and 3792

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 3786, 3792 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3786 and 3792 is 6.

GCF(3786,3792) = 6

GCF of 3786 and 3792

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

GCF of:
and

Greatest Common Factor of 3786 and 3792

GCF of 3786 and 3792 is 6

Prime Factorization of 3786


2 3786
3 1893
631 631
1

Prime factors of 3786 are 2,3,631. Prime factorization of 3786 in exponential form is:

3786 = 21×31×6311

Prime Factorization of 3792


2 3792
2 1896
2 948
2 474
3 237
79 79
1

Prime factors of 3792 are 2,3,79. Prime factorization of 3792 in exponential form is:

3792 = 24×31×791

∴ So by taking common prime factors GCF of 3786 and 3792 is 6

Greatest Common Factor of 3786 and 3792 by matching factors method

Factors of 3786

List of positive integer factors of 3786 that divides 3786 without a remainder.

1,2,3,6,631,1262,1893,3786

Factors of 3792

List of positive integer factors of 3792 that divides 3792 without a remainder.

1,2,3,4,6,8,12,16,24,48,79,158,237,316,474,632,948,1264,1896,3792

Greatest Common Factor

We found the factors and prime factorization of 3786 and 3792. The biggest common factor number is the GCF number.
So the greatest common factor 3786 and 3792 is 6.

Also check out the Least Common Multiple of 3786 and 3792

Properties of GCF 3786 and 3792

(i) The GCF of 3786 and 3792 is associative

GCF of 3786 and 3792 = GCF of 3792 and 3786

Related Greatest Common Factor of 3786

Related Greatest Common Factor of 3792

Frequently Asked Questions on GCF of 3786 and 3792

1. What is the GCF of 3786 and 3792?

Answer: GCF of 3786 and 3792 is 6.

2. What are the Factors of 3786?

Answer: Factors of 3786 are 1, 2, 3, 6, 631, 1262, 1893, 3786. There are 8 integers that are factors of 3786. The greatest factor of 3786 is 3786.

3. What are the Factors of 3792?

Answer: Factors of 3792 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896, 3792. There are 20 integers that are factors of 3792. The greatest factor of 3792 is 3792.

4. How to Find the GCF of 3786 and 3792?

Answer:

Greatest Common Factor of 3786 and 3792 = 6

Step 1: Find the prime factorization of 3786

3786 = 2 x 3 x 631

Step 2: Find the prime factorization of 3792

3792 = 2 x 2 x 2 x 2 x 3 x 79

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3786 and 3792 is 6