# Greatest Common Factor of 735 and 743

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 735, 743 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 735 and 743 is 1.

GCF(735,743) = 1

## GCF of 735 and 743

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

GCF of:
and

### Greatest Common Factor of 735 and 743 by Prime factorization method

Prime Factorization of 735

 3 735 5 245 7 49 7 7 1

Prime factors of 735 are 3,5,7. Prime factorization of 735 in exponential form is:

735 = 31×51×72

Prime Factorization of 743

 743 743 1

Prime factors of 743 are 743. Prime factorization of 743 in exponential form is:

743 = 7431

∴ So by taking common prime factors GCF of 735 and 743 is 1

### Greatest Common Factor of 735 and 743 by matching factors method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors and prime factorization of 735 and 743. The biggest common factor number is the GCF number.
So the greatest common factor 735 and 743 is 1.

Also check out the Least Common Multiple of 735 and 743

### Properties of GCF 735 and 743

(i) The GCF of 735 and 743 is associative

GCF of 735 and 743 = GCF of 743 and 735

### Frequently Asked Questions on GCF of 735 and 743

1. What is the GCF of 735 and 743?

Answer: GCF of 735 and 743 is 1.

2. What are the Factors of 735?

Answer: Factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735. There are 12 integers that are factors of 735. The greatest factor of 735 is 735.

3. What are the Factors of 743?

Answer: Factors of 743 are 1, 743. There are 2 integers that are factors of 743. The greatest factor of 743 is 743.

4. How to Find the GCF of 735 and 743?

Greatest Common Factor of 735 and 743 = 1

Step 1: Find the prime factorization of 735

735 = 3 x 5 x 7 x 7

Step 2: Find the prime factorization of 743

743 = 743

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 735 and 743 is 1