Greatest Common Factor of 5702 and 5705

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 5702, 5705 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5702 and 5705 is 1.

GCF(5702,5705) = 1

GCF of 5702 and 5705

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

GCF of:
and

Greatest Common Factor of 5702 and 5705

GCF of 5702 and 5705 is 1

Prime Factorization of 5702


2 5702
2851 2851
1

Prime factors of 5702 are 2,2851. Prime factorization of 5702 in exponential form is:

5702 = 21×28511

Prime Factorization of 5705


5 5705
7 1141
163 163
1

Prime factors of 5705 are 5,7,163. Prime factorization of 5705 in exponential form is:

5705 = 51×71×1631

∴ So by taking common prime factors GCF of 5702 and 5705 is 1

Greatest Common Factor of 5702 and 5705 by matching factors method

Factors of 5702

List of positive integer factors of 5702 that divides 5702 without a remainder.

1,2,2851,5702

Factors of 5705

List of positive integer factors of 5705 that divides 5705 without a remainder.

1,5,7,35,163,815,1141,5705

Greatest Common Factor

We found the factors and prime factorization of 5702 and 5705. The biggest common factor number is the GCF number.
So the greatest common factor 5702 and 5705 is 1.

Also check out the Least Common Multiple of 5702 and 5705

Properties of GCF 5702 and 5705

(i) The GCF of 5702 and 5705 is associative

GCF of 5702 and 5705 = GCF of 5705 and 5702

Related Greatest Common Factor of 5702

Related Greatest Common Factor of 5705

Frequently Asked Questions on GCF of 5702 and 5705

1. What is the GCF of 5702 and 5705?

Answer: GCF of 5702 and 5705 is 1.

2. What are the Factors of 5702?

Answer: Factors of 5702 are 1, 2, 2851, 5702. There are 4 integers that are factors of 5702. The greatest factor of 5702 is 5702.

3. What are the Factors of 5705?

Answer: Factors of 5705 are 1, 5, 7, 35, 163, 815, 1141, 5705. There are 8 integers that are factors of 5705. The greatest factor of 5705 is 5705.

4. How to Find the GCF of 5702 and 5705?

Answer:

Greatest Common Factor of 5702 and 5705 = 1

Step 1: Find the prime factorization of 5702

5702 = 2 x 2851

Step 2: Find the prime factorization of 5705

5705 = 5 x 7 x 163

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 5702 and 5705 is 1