Greatest Common Factor of 3718 and 3721

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 3718, 3721 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3718 and 3721 is 1.

GCF(3718,3721) = 1

GCF of 3718 and 3721

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

GCF of:
and

Greatest Common Factor of 3718 and 3721

GCF of 3718 and 3721 is 1

Prime Factorization of 3718


2 3718
11 1859
13 169
13 13
1

Prime factors of 3718 are 2,11,13. Prime factorization of 3718 in exponential form is:

3718 = 21×111×132

Prime Factorization of 3721


61 3721
61 61
1

Prime factors of 3721 are 61. Prime factorization of 3721 in exponential form is:

3721 = 612

∴ So by taking common prime factors GCF of 3718 and 3721 is 1

Greatest Common Factor of 3718 and 3721 by matching factors method

Factors of 3718

List of positive integer factors of 3718 that divides 3718 without a remainder.

1,2,11,13,22,26,143,169,286,338,1859,3718

Factors of 3721

List of positive integer factors of 3721 that divides 3721 without a remainder.

1,61,3721

Greatest Common Factor

We found the factors and prime factorization of 3718 and 3721. The biggest common factor number is the GCF number.
So the greatest common factor 3718 and 3721 is 1.

Also check out the Least Common Multiple of 3718 and 3721

Properties of GCF 3718 and 3721

(i) The GCF of 3718 and 3721 is associative

GCF of 3718 and 3721 = GCF of 3721 and 3718

Frequently Asked Questions on GCF of 3718 and 3721

1. What is the GCF of 3718 and 3721?

Answer: GCF of 3718 and 3721 is 1.

2. What are the Factors of 3718?

Answer: Factors of 3718 are 1, 2, 11, 13, 22, 26, 143, 169, 286, 338, 1859, 3718. There are 12 integers that are factors of 3718. The greatest factor of 3718 is 3718.

3. What are the Factors of 3721?

Answer: Factors of 3721 are 1, 61, 3721. There are 3 integers that are factors of 3721. The greatest factor of 3721 is 3721.

4. How to Find the GCF of 3718 and 3721?

Answer:

Greatest Common Factor of 3718 and 3721 = 1

Step 1: Find the prime factorization of 3718

3718 = 2 x 11 x 13 x 13

Step 2: Find the prime factorization of 3721

3721 = 61 x 61

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 3718 and 3721 is 1