Greatest Common Factor of 5695 and 5702

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 5695, 5702 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5695 and 5702 is 1.

GCF(5695,5702) = 1

GCF of 5695 and 5702

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

GCF of:
and

Greatest Common Factor of 5695 and 5702

GCF of 5695 and 5702 is 1

Prime Factorization of 5695


5 5695
17 1139
67 67
1

Prime factors of 5695 are 5,17,67. Prime factorization of 5695 in exponential form is:

5695 = 51×171×671

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

∴ So by taking common prime factors GCF of 5695 and 5702 is 1

Greatest Common Factor of 5695 and 5702 by matching factors method

Factors of 5695

List of positive integer factors of 5695 that divides 5695 without a remainder.

1,5,17,67,85,335,1139,5695

Factors of 5702

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

1,2,2851,5702

Greatest Common Factor

We found the factors and prime factorization of 5695 and 5702. The biggest common factor number is the GCF number.
So the greatest common factor 5695 and 5702 is 1.

Also check out the Least Common Multiple of 5695 and 5702

Properties of GCF 5695 and 5702

(i) The GCF of 5695 and 5702 is associative

GCF of 5695 and 5702 = GCF of 5702 and 5695

Related Greatest Common Factor of 5695

Related Greatest Common Factor of 5702

Frequently Asked Questions on GCF of 5695 and 5702

1. What is the GCF of 5695 and 5702?

Answer: GCF of 5695 and 5702 is 1.

2. What are the Factors of 5695?

Answer: Factors of 5695 are 1, 5, 17, 67, 85, 335, 1139, 5695. There are 8 integers that are factors of 5695. The greatest factor of 5695 is 5695.

3. 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.

4. How to Find the GCF of 5695 and 5702?

Answer:

Greatest Common Factor of 5695 and 5702 = 1

Step 1: Find the prime factorization of 5695

5695 = 5 x 17 x 67

Step 2: Find the prime factorization of 5702

5702 = 2 x 2851

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 5695 and 5702 is 1