Greatest Common Factor of 3792 and 3798

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 3792, 3798 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3792 and 3798 is 6.

GCF(3792,3798) = 6

GCF of 3792 and 3798

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

GCF of:
and

Greatest Common Factor of 3792 and 3798

GCF of 3792 and 3798 is 6

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

Prime Factorization of 3798


2 3798
3 1899
3 633
211 211
1

Prime factors of 3798 are 2,3,211. Prime factorization of 3798 in exponential form is:

3798 = 21×32×2111

∴ So by taking common prime factors GCF of 3792 and 3798 is 6

Greatest Common Factor of 3792 and 3798 by matching factors method

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

Factors of 3798

List of positive integer factors of 3798 that divides 3798 without a remainder.

1,2,3,6,9,18,211,422,633,1266,1899,3798

Greatest Common Factor

We found the factors and prime factorization of 3792 and 3798. The biggest common factor number is the GCF number.
So the greatest common factor 3792 and 3798 is 6.

Also check out the Least Common Multiple of 3792 and 3798

Properties of GCF 3792 and 3798

(i) The GCF of 3792 and 3798 is associative

GCF of 3792 and 3798 = GCF of 3798 and 3792

Related Greatest Common Factor of 3792

Related Greatest Common Factor of 3798

Frequently Asked Questions on GCF of 3792 and 3798

1. What is the GCF of 3792 and 3798?

Answer: GCF of 3792 and 3798 is 6.

2. 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.

3. What are the Factors of 3798?

Answer: Factors of 3798 are 1, 2, 3, 6, 9, 18, 211, 422, 633, 1266, 1899, 3798. There are 12 integers that are factors of 3798. The greatest factor of 3798 is 3798.

4. How to Find the GCF of 3792 and 3798?

Answer:

Greatest Common Factor of 3792 and 3798 = 6

Step 1: Find the prime factorization of 3792

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

Step 2: Find the prime factorization of 3798

3798 = 2 x 3 x 3 x 211

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 3792 and 3798 is 6