Greatest Common Factor of 5702 and 5708

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, 5708 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5702 and 5708 is 2.

GCF(5702,5708) = 2

GCF of 5702 and 5708

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

GCF of:
and

Greatest Common Factor of 5702 and 5708

GCF of 5702 and 5708 is 2

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 5708


2 5708
2 2854
1427 1427
1

Prime factors of 5708 are 2,1427. Prime factorization of 5708 in exponential form is:

5708 = 22×14271

∴ So by taking common prime factors GCF of 5702 and 5708 is 2

Greatest Common Factor of 5702 and 5708 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 5708

List of positive integer factors of 5708 that divides 5708 without a remainder.

1,2,4,1427,2854,5708

Greatest Common Factor

We found the factors and prime factorization of 5702 and 5708. The biggest common factor number is the GCF number.
So the greatest common factor 5702 and 5708 is 2.

Also check out the Least Common Multiple of 5702 and 5708

Properties of GCF 5702 and 5708

(i) The GCF of 5702 and 5708 is associative

GCF of 5702 and 5708 = GCF of 5708 and 5702

Related Greatest Common Factor of 5702

Related Greatest Common Factor of 5708

Frequently Asked Questions on GCF of 5702 and 5708

1. What is the GCF of 5702 and 5708?

Answer: GCF of 5702 and 5708 is 2.

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 5708?

Answer: Factors of 5708 are 1, 2, 4, 1427, 2854, 5708. There are 6 integers that are factors of 5708. The greatest factor of 5708 is 5708.

4. How to Find the GCF of 5702 and 5708?

Answer:

Greatest Common Factor of 5702 and 5708 = 2

Step 1: Find the prime factorization of 5702

5702 = 2 x 2851

Step 2: Find the prime factorization of 5708

5708 = 2 x 2 x 1427

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 5702 and 5708 is 2