Greatest Common Factor of 3704 and 3712

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 3704, 3712 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3704 and 3712 is 8.

GCF(3704,3712) = 8

GCF of 3704 and 3712

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

GCF of:
and

Greatest Common Factor of 3704 and 3712

GCF of 3704 and 3712 is 8

Prime Factorization of 3704


2 3704
2 1852
2 926
463 463
1

Prime factors of 3704 are 2,463. Prime factorization of 3704 in exponential form is:

3704 = 23×4631

Prime Factorization of 3712


2 3712
2 1856
2 928
2 464
2 232
2 116
2 58
29 29
1

Prime factors of 3712 are 2,29. Prime factorization of 3712 in exponential form is:

3712 = 27×291

∴ So by taking common prime factors GCF of 3704 and 3712 is 8

Greatest Common Factor of 3704 and 3712 by matching factors method

Factors of 3704

List of positive integer factors of 3704 that divides 3704 without a remainder.

1,2,4,8,463,926,1852,3704

Factors of 3712

List of positive integer factors of 3712 that divides 3712 without a remainder.

1,2,4,8,16,29,32,58,64,116,128,232,464,928,1856,3712

Greatest Common Factor

We found the factors and prime factorization of 3704 and 3712. The biggest common factor number is the GCF number.
So the greatest common factor 3704 and 3712 is 8.

Also check out the Least Common Multiple of 3704 and 3712

Properties of GCF 3704 and 3712

(i) The GCF of 3704 and 3712 is associative

GCF of 3704 and 3712 = GCF of 3712 and 3704

Related Greatest Common Factor of 3704

Related Greatest Common Factor of 3712

Frequently Asked Questions on GCF of 3704 and 3712

1. What is the GCF of 3704 and 3712?

Answer: GCF of 3704 and 3712 is 8.

2. What are the Factors of 3704?

Answer: Factors of 3704 are 1, 2, 4, 8, 463, 926, 1852, 3704. There are 8 integers that are factors of 3704. The greatest factor of 3704 is 3704.

3. What are the Factors of 3712?

Answer: Factors of 3712 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856, 3712. There are 16 integers that are factors of 3712. The greatest factor of 3712 is 3712.

4. How to Find the GCF of 3704 and 3712?

Answer:

Greatest Common Factor of 3704 and 3712 = 8

Step 1: Find the prime factorization of 3704

3704 = 2 x 2 x 2 x 463

Step 2: Find the prime factorization of 3712

3712 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29

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 3704 and 3712 is 8