Greatest Common Factor of 8705 and 8713

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 8705, 8713 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8705 and 8713 is 1.

GCF(8705,8713) = 1

GCF of 8705 and 8713

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

GCF of:
and

Greatest Common Factor of 8705 and 8713

GCF of 8705 and 8713 is 1

Prime Factorization of 8705


5 8705
1741 1741
1

Prime factors of 8705 are 5,1741. Prime factorization of 8705 in exponential form is:

8705 = 51×17411

Prime Factorization of 8713


8713 8713
1

Prime factors of 8713 are 8713. Prime factorization of 8713 in exponential form is:

8713 = 87131

∴ So by taking common prime factors GCF of 8705 and 8713 is 1

Greatest Common Factor of 8705 and 8713 by matching factors method

Factors of 8705

List of positive integer factors of 8705 that divides 8705 without a remainder.

1,5,1741,8705

Factors of 8713

List of positive integer factors of 8713 that divides 8713 without a remainder.

1,8713

Greatest Common Factor

We found the factors and prime factorization of 8705 and 8713. The biggest common factor number is the GCF number.
So the greatest common factor 8705 and 8713 is 1.

Also check out the Least Common Multiple of 8705 and 8713

Properties of GCF 8705 and 8713

(i) The GCF of 8705 and 8713 is associative

GCF of 8705 and 8713 = GCF of 8713 and 8705

Related Greatest Common Factor of 8705

Related Greatest Common Factor of 8713

Frequently Asked Questions on GCF of 8705 and 8713

1. What is the GCF of 8705 and 8713?

Answer: GCF of 8705 and 8713 is 1.

2. What are the Factors of 8705?

Answer: Factors of 8705 are 1, 5, 1741, 8705. There are 4 integers that are factors of 8705. The greatest factor of 8705 is 8705.

3. What are the Factors of 8713?

Answer: Factors of 8713 are 1, 8713. There are 2 integers that are factors of 8713. The greatest factor of 8713 is 8713.

4. How to Find the GCF of 8705 and 8713?

Answer:

Greatest Common Factor of 8705 and 8713 = 1

Step 1: Find the prime factorization of 8705

8705 = 5 x 1741

Step 2: Find the prime factorization of 8713

8713 = 8713

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 8705 and 8713 is 1