Greatest Common Factor of 3712 and 3716

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 3712, 3716 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3712 and 3716 is 4.

GCF(3712,3716) = 4

GCF of 3712 and 3716

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

GCF of:
and

Greatest Common Factor of 3712 and 3716

GCF of 3712 and 3716 is 4

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

Prime Factorization of 3716


2 3716
2 1858
929 929
1

Prime factors of 3716 are 2,929. Prime factorization of 3716 in exponential form is:

3716 = 22×9291

∴ So by taking common prime factors GCF of 3712 and 3716 is 4

Greatest Common Factor of 3712 and 3716 by matching factors method

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

Factors of 3716

List of positive integer factors of 3716 that divides 3716 without a remainder.

1,2,4,929,1858,3716

Greatest Common Factor

We found the factors and prime factorization of 3712 and 3716. The biggest common factor number is the GCF number.
So the greatest common factor 3712 and 3716 is 4.

Also check out the Least Common Multiple of 3712 and 3716

Properties of GCF 3712 and 3716

(i) The GCF of 3712 and 3716 is associative

GCF of 3712 and 3716 = GCF of 3716 and 3712

Related Greatest Common Factor of 3712

Related Greatest Common Factor of 3716

Frequently Asked Questions on GCF of 3712 and 3716

1. What is the GCF of 3712 and 3716?

Answer: GCF of 3712 and 3716 is 4.

2. 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.

3. What are the Factors of 3716?

Answer: Factors of 3716 are 1, 2, 4, 929, 1858, 3716. There are 6 integers that are factors of 3716. The greatest factor of 3716 is 3716.

4. How to Find the GCF of 3712 and 3716?

Answer:

Greatest Common Factor of 3712 and 3716 = 4

Step 1: Find the prime factorization of 3712

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

Step 2: Find the prime factorization of 3716

3716 = 2 x 2 x 929

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3712 and 3716 is 4