Greatest Common Factor of 703 and 706

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 703, 706 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 703 and 706 is 1.

GCF(703,706) = 1

GCF of 703 and 706

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

GCF of:
and

Greatest Common Factor of 703 and 706

GCF of 703 and 706 is 1

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

Prime Factorization of 706


2 706
353 353
1

Prime factors of 706 are 2,353. Prime factorization of 706 in exponential form is:

706 = 21×3531

∴ So by taking common prime factors GCF of 703 and 706 is 1

Greatest Common Factor of 703 and 706 by matching factors method

Factors of 703

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

1,19,37,703

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors and prime factorization of 703 and 706. The biggest common factor number is the GCF number.
So the greatest common factor 703 and 706 is 1.

Also check out the Least Common Multiple of 703 and 706

Properties of GCF 703 and 706

(i) The GCF of 703 and 706 is associative

GCF of 703 and 706 = GCF of 706 and 703

Related Greatest Common Factor of 703

Related Greatest Common Factor of 706

Frequently Asked Questions on GCF of 703 and 706

1. What is the GCF of 703 and 706?

Answer: GCF of 703 and 706 is 1.

2. 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.

3. What are the Factors of 706?

Answer: Factors of 706 are 1, 2, 353, 706. There are 4 integers that are factors of 706. The greatest factor of 706 is 706.

4. How to Find the GCF of 703 and 706?

Answer:

Greatest Common Factor of 703 and 706 = 1

Step 1: Find the prime factorization of 703

703 = 19 x 37

Step 2: Find the prime factorization of 706

706 = 2 x 353

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 703 and 706 is 1