Greatest Common Factor of 703 and 705

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

Greatest common factor (GCF) of 703 and 705 is 1.

GCF(703,705) = 1

GCF of 703 and 705

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

GCF of:
and

Greatest Common Factor of 703 and 705

GCF of 703 and 705 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 705


3 705
5 235
47 47
1

Prime factors of 705 are 3,5,47. Prime factorization of 705 in exponential form is:

705 = 31×51×471

∴ So by taking common prime factors GCF of 703 and 705 is 1

Greatest Common Factor of 703 and 705 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 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors and prime factorization of 703 and 705. The biggest common factor number is the GCF number.
So the greatest common factor 703 and 705 is 1.

Also check out the Least Common Multiple of 703 and 705

Properties of GCF 703 and 705

(i) The GCF of 703 and 705 is associative

GCF of 703 and 705 = GCF of 705 and 703

Related Greatest Common Factor of 703

Related Greatest Common Factor of 705

Frequently Asked Questions on GCF of 703 and 705

1. What is the GCF of 703 and 705?

Answer: GCF of 703 and 705 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 705?

Answer: Factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705. There are 8 integers that are factors of 705. The greatest factor of 705 is 705.

4. How to Find the GCF of 703 and 705?

Answer:

Greatest Common Factor of 703 and 705 = 1

Step 1: Find the prime factorization of 703

703 = 19 x 37

Step 2: Find the prime factorization of 705

705 = 3 x 5 x 47

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 705 is 1