Greatest Common Factor of 695 and 703

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 695, 703 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 695 and 703 is 1.

GCF(695,703) = 1

GCF of 695 and 703

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

GCF of:
and

Greatest Common Factor of 695 and 703

GCF of 695 and 703 is 1

Prime Factorization of 695


5 695
139 139
1

Prime factors of 695 are 5,139. Prime factorization of 695 in exponential form is:

695 = 51×1391

Prime Factorization of 703


19 703
37 37
1

Prime factors of 703 are 19,37. Prime factorization of 703 in exponential form is:

703 = 191×371

∴ So by taking common prime factors GCF of 695 and 703 is 1

Greatest Common Factor of 695 and 703 by matching factors method

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors and prime factorization of 695 and 703. The biggest common factor number is the GCF number.
So the greatest common factor 695 and 703 is 1.

Also check out the Least Common Multiple of 695 and 703

Properties of GCF 695 and 703

(i) The GCF of 695 and 703 is associative

GCF of 695 and 703 = GCF of 703 and 695

Related Greatest Common Factor of 695

Related Greatest Common Factor of 703

Frequently Asked Questions on GCF of 695 and 703

1. What is the GCF of 695 and 703?

Answer: GCF of 695 and 703 is 1.

2. What are the Factors of 695?

Answer: Factors of 695 are 1, 5, 139, 695. There are 4 integers that are factors of 695. The greatest factor of 695 is 695.

3. What are the Factors of 703?

Answer: Factors of 703 are 1, 19, 37, 703. There are 4 integers that are factors of 703. The greatest factor of 703 is 703.

4. How to Find the GCF of 695 and 703?

Answer:

Greatest Common Factor of 695 and 703 = 1

Step 1: Find the prime factorization of 695

695 = 5 x 139

Step 2: Find the prime factorization of 703

703 = 19 x 37

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 695 and 703 is 1