Greatest Common Factor of 3680 and 3687

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 3680, 3687 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3680 and 3687 is 1.

GCF(3680,3687) = 1

GCF of 3680 and 3687

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

GCF of:
and

Greatest Common Factor of 3680 and 3687

GCF of 3680 and 3687 is 1

Prime Factorization of 3680


2 3680
2 1840
2 920
2 460
2 230
5 115
23 23
1

Prime factors of 3680 are 2,5,23. Prime factorization of 3680 in exponential form is:

3680 = 25×51×231

Prime Factorization of 3687


3 3687
1229 1229
1

Prime factors of 3687 are 3,1229. Prime factorization of 3687 in exponential form is:

3687 = 31×12291

∴ So by taking common prime factors GCF of 3680 and 3687 is 1

Greatest Common Factor of 3680 and 3687 by matching factors method

Factors of 3680

List of positive integer factors of 3680 that divides 3680 without a remainder.

1,2,4,5,8,10,16,20,23,32,40,46,80,92,115,160,184,230,368,460,736,920,1840,3680

Factors of 3687

List of positive integer factors of 3687 that divides 3687 without a remainder.

1,3,1229,3687

Greatest Common Factor

We found the factors and prime factorization of 3680 and 3687. The biggest common factor number is the GCF number.
So the greatest common factor 3680 and 3687 is 1.

Also check out the Least Common Multiple of 3680 and 3687

Properties of GCF 3680 and 3687

(i) The GCF of 3680 and 3687 is associative

GCF of 3680 and 3687 = GCF of 3687 and 3680

Related Greatest Common Factor of 3680

Related Greatest Common Factor of 3687

Frequently Asked Questions on GCF of 3680 and 3687

1. What is the GCF of 3680 and 3687?

Answer: GCF of 3680 and 3687 is 1.

2. What are the Factors of 3680?

Answer: Factors of 3680 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840, 3680. There are 24 integers that are factors of 3680. The greatest factor of 3680 is 3680.

3. What are the Factors of 3687?

Answer: Factors of 3687 are 1, 3, 1229, 3687. There are 4 integers that are factors of 3687. The greatest factor of 3687 is 3687.

4. How to Find the GCF of 3680 and 3687?

Answer:

Greatest Common Factor of 3680 and 3687 = 1

Step 1: Find the prime factorization of 3680

3680 = 2 x 2 x 2 x 2 x 2 x 5 x 23

Step 2: Find the prime factorization of 3687

3687 = 3 x 1229

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 3680 and 3687 is 1