Greatest Common Factor of 3784 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 3784, 3792 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3784 and 3792 is 8.

GCF(3784,3792) = 8

GCF of 3784 and 3792

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

GCF of:
and

Greatest Common Factor of 3784 and 3792

GCF of 3784 and 3792 is 8

Prime Factorization of 3784


2 3784
2 1892
2 946
11 473
43 43
1

Prime factors of 3784 are 2,11,43. Prime factorization of 3784 in exponential form is:

3784 = 23×111×431

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 3784 and 3792 is 8

Greatest Common Factor of 3784 and 3792 by matching factors method

Factors of 3784

List of positive integer factors of 3784 that divides 3784 without a remainder.

1,2,4,8,11,22,43,44,86,88,172,344,473,946,1892,3784

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 3784 and 3792. The biggest common factor number is the GCF number.
So the greatest common factor 3784 and 3792 is 8.

Also check out the Least Common Multiple of 3784 and 3792

Properties of GCF 3784 and 3792

(i) The GCF of 3784 and 3792 is associative

GCF of 3784 and 3792 = GCF of 3792 and 3784

Related Greatest Common Factor of 3784

Related Greatest Common Factor of 3792

Frequently Asked Questions on GCF of 3784 and 3792

1. What is the GCF of 3784 and 3792?

Answer: GCF of 3784 and 3792 is 8.

2. What are the Factors of 3784?

Answer: Factors of 3784 are 1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784. There are 16 integers that are factors of 3784. The greatest factor of 3784 is 3784.

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 3784 and 3792?

Answer:

Greatest Common Factor of 3784 and 3792 = 8

Step 1: Find the prime factorization of 3784

3784 = 2 x 2 x 2 x 11 x 43

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 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3784 and 3792 is 8