Greatest Common Factor of 3705 and 3707

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 3705, 3707 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3705 and 3707 is 1.

GCF(3705,3707) = 1

GCF of 3705 and 3707

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

GCF of:
and

Greatest Common Factor of 3705 and 3707

GCF of 3705 and 3707 is 1

Prime Factorization of 3705


3 3705
5 1235
13 247
19 19
1

Prime factors of 3705 are 3,5,13,19. Prime factorization of 3705 in exponential form is:

3705 = 31×51×131×191

Prime Factorization of 3707


11 3707
337 337
1

Prime factors of 3707 are 11,337. Prime factorization of 3707 in exponential form is:

3707 = 111×3371

∴ So by taking common prime factors GCF of 3705 and 3707 is 1

Greatest Common Factor of 3705 and 3707 by matching factors method

Factors of 3705

List of positive integer factors of 3705 that divides 3705 without a remainder.

1,3,5,13,15,19,39,57,65,95,195,247,285,741,1235,3705

Factors of 3707

List of positive integer factors of 3707 that divides 3707 without a remainder.

1,11,337,3707

Greatest Common Factor

We found the factors and prime factorization of 3705 and 3707. The biggest common factor number is the GCF number.
So the greatest common factor 3705 and 3707 is 1.

Also check out the Least Common Multiple of 3705 and 3707

Properties of GCF 3705 and 3707

(i) The GCF of 3705 and 3707 is associative

GCF of 3705 and 3707 = GCF of 3707 and 3705

Related Greatest Common Factor of 3705

Related Greatest Common Factor of 3707

Frequently Asked Questions on GCF of 3705 and 3707

1. What is the GCF of 3705 and 3707?

Answer: GCF of 3705 and 3707 is 1.

2. What are the Factors of 3705?

Answer: Factors of 3705 are 1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741, 1235, 3705. There are 16 integers that are factors of 3705. The greatest factor of 3705 is 3705.

3. What are the Factors of 3707?

Answer: Factors of 3707 are 1, 11, 337, 3707. There are 4 integers that are factors of 3707. The greatest factor of 3707 is 3707.

4. How to Find the GCF of 3705 and 3707?

Answer:

Greatest Common Factor of 3705 and 3707 = 1

Step 1: Find the prime factorization of 3705

3705 = 3 x 5 x 13 x 19

Step 2: Find the prime factorization of 3707

3707 = 11 x 337

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 3705 and 3707 is 1