Greatest Common Factor of 3696 and 3704

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 3696, 3704 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3696 and 3704 is 8.

GCF(3696,3704) = 8

GCF of 3696 and 3704

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

GCF of:
and

Greatest Common Factor of 3696 and 3704

GCF of 3696 and 3704 is 8

Prime Factorization of 3696


2 3696
2 1848
2 924
2 462
3 231
7 77
11 11
1

Prime factors of 3696 are 2,3,7,11. Prime factorization of 3696 in exponential form is:

3696 = 24×31×71×111

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

∴ So by taking common prime factors GCF of 3696 and 3704 is 8

Greatest Common Factor of 3696 and 3704 by matching factors method

Factors of 3696

List of positive integer factors of 3696 that divides 3696 without a remainder.

1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,33,42,44,48,56,66,77,84,88,112,132,154,168,176,231,264,308,336,462,528,616,924,1232,1848,3696

Factors of 3704

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

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

Greatest Common Factor

We found the factors and prime factorization of 3696 and 3704. The biggest common factor number is the GCF number.
So the greatest common factor 3696 and 3704 is 8.

Also check out the Least Common Multiple of 3696 and 3704

Properties of GCF 3696 and 3704

(i) The GCF of 3696 and 3704 is associative

GCF of 3696 and 3704 = GCF of 3704 and 3696

Related Greatest Common Factor of 3696

Related Greatest Common Factor of 3704

Frequently Asked Questions on GCF of 3696 and 3704

1. What is the GCF of 3696 and 3704?

Answer: GCF of 3696 and 3704 is 8.

2. What are the Factors of 3696?

Answer: Factors of 3696 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848, 3696. There are 40 integers that are factors of 3696. The greatest factor of 3696 is 3696.

3. 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.

4. How to Find the GCF of 3696 and 3704?

Answer:

Greatest Common Factor of 3696 and 3704 = 8

Step 1: Find the prime factorization of 3696

3696 = 2 x 2 x 2 x 2 x 3 x 7 x 11

Step 2: Find the prime factorization of 3704

3704 = 2 x 2 x 2 x 463

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 3696 and 3704 is 8