Greatest Common Factor of 3712 and 3717

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, 3717 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3712 and 3717 is 1.

GCF(3712,3717) = 1

GCF of 3712 and 3717

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

GCF of:
and

Greatest Common Factor of 3712 and 3717

GCF of 3712 and 3717 is 1

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 3717


3 3717
3 1239
7 413
59 59
1

Prime factors of 3717 are 3,7,59. Prime factorization of 3717 in exponential form is:

3717 = 32×71×591

∴ So by taking common prime factors GCF of 3712 and 3717 is 1

Greatest Common Factor of 3712 and 3717 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 3717

List of positive integer factors of 3717 that divides 3717 without a remainder.

1,3,7,9,21,59,63,177,413,531,1239,3717

Greatest Common Factor

We found the factors and prime factorization of 3712 and 3717. The biggest common factor number is the GCF number.
So the greatest common factor 3712 and 3717 is 1.

Also check out the Least Common Multiple of 3712 and 3717

Properties of GCF 3712 and 3717

(i) The GCF of 3712 and 3717 is associative

GCF of 3712 and 3717 = GCF of 3717 and 3712

Related Greatest Common Factor of 3712

Related Greatest Common Factor of 3717

Frequently Asked Questions on GCF of 3712 and 3717

1. What is the GCF of 3712 and 3717?

Answer: GCF of 3712 and 3717 is 1.

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 3717?

Answer: Factors of 3717 are 1, 3, 7, 9, 21, 59, 63, 177, 413, 531, 1239, 3717. There are 12 integers that are factors of 3717. The greatest factor of 3717 is 3717.

4. How to Find the GCF of 3712 and 3717?

Answer:

Greatest Common Factor of 3712 and 3717 = 1

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 3717

3717 = 3 x 3 x 7 x 59

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 3712 and 3717 is 1