Greatest Common Factor of 3792 and 3799

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, 3799 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3792 and 3799 is 1.

GCF(3792,3799) = 1

GCF of 3792 and 3799

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

GCF of:
and

Greatest Common Factor of 3792 and 3799

GCF of 3792 and 3799 is 1

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 3799


29 3799
131 131
1

Prime factors of 3799 are 29,131. Prime factorization of 3799 in exponential form is:

3799 = 291×1311

∴ So by taking common prime factors GCF of 3792 and 3799 is 1

Greatest Common Factor of 3792 and 3799 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 3799

List of positive integer factors of 3799 that divides 3799 without a remainder.

1,29,131,3799

Greatest Common Factor

We found the factors and prime factorization of 3792 and 3799. The biggest common factor number is the GCF number.
So the greatest common factor 3792 and 3799 is 1.

Also check out the Least Common Multiple of 3792 and 3799

Properties of GCF 3792 and 3799

(i) The GCF of 3792 and 3799 is associative

GCF of 3792 and 3799 = GCF of 3799 and 3792

Related Greatest Common Factor of 3792

Related Greatest Common Factor of 3799

Frequently Asked Questions on GCF of 3792 and 3799

1. What is the GCF of 3792 and 3799?

Answer: GCF of 3792 and 3799 is 1.

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 3799?

Answer: Factors of 3799 are 1, 29, 131, 3799. There are 4 integers that are factors of 3799. The greatest factor of 3799 is 3799.

4. How to Find the GCF of 3792 and 3799?

Answer:

Greatest Common Factor of 3792 and 3799 = 1

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 3799

3799 = 29 x 131

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3792 and 3799 is 1