Greatest Common Factor of 3709 and 3713

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 3709, 3713 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3709 and 3713 is 1.

GCF(3709,3713) = 1

GCF of 3709 and 3713

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

GCF of:
and

Greatest Common Factor of 3709 and 3713

GCF of 3709 and 3713 is 1

Prime Factorization of 3709


3709 3709
1

Prime factors of 3709 are 3709. Prime factorization of 3709 in exponential form is:

3709 = 37091

Prime Factorization of 3713


47 3713
79 79
1

Prime factors of 3713 are 47.Prime factorization of 3713 in exponential form is:

3713 = 471×791

∴ So by taking common prime factors GCF of 3709 and 3713 is 1

Greatest Common Factor of 3709 and 3713 by matching factors method

Factors of 3709

List of positive integer factors of 3709 that divides 3709 without a remainder.

1,3709

Factors of 3713

List of positive integer factors of 3713 that divides 3713 without a remainder.

1,47,79,3713

Greatest Common Factor

We found the factors and prime factorization of 3709 and 3713. The biggest common factor number is the GCF number.
So the greatest common factor 3709 and 3713 is 1.

Also check out the Least Common Multiple of 3709 and 3713

Properties of GCF 3709 and 3713

(i) The GCF of 3709 and 3713 is associative

GCF of 3709 and 3713 = GCF of 3713 and 3709

Related Greatest Common Factor of 3709

Related Greatest Common Factor of 3713

Frequently Asked Questions on GCF of 3709 and 3713

1. What is the GCF of 3709 and 3713?

Answer: GCF of 3709 and 3713 is 1.

2. What are the Factors of 3709?

Answer: Factors of 3709 are 1, 3709. There are 2 integers that are factors of 3709. The greatest factor of 3709 is 3709.

3. What are the Factors of 3713?

Answer: Factors of 3713 are 1, 47, 79, 3713. There are 4 integers that are factors of 3713. The greatest factor of 3713 is 3713.

4. How to Find the GCF of 3709 and 3713?

Answer:

Greatest Common Factor of 3709 and 3713 = 1

Step 1: Find the prime factorization of 3709

3709 = 3709

Step 2: Find the prime factorization of 3713

3713 = 47 x 79

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 3709 and 3713 is 1