Greatest Common Factor of 727 and 733

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 727, 733 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 727 and 733 is 1.

GCF(727,733) = 1

GCF of 727 and 733

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

GCF of:
and

Greatest Common Factor of 727 and 733

GCF of 727 and 733 is 1

Prime Factorization of 727


727 727
1

Prime factors of 727 are 727. Prime factorization of 727 in exponential form is:

727 = 7271

Prime Factorization of 733


733 733
1

Prime factors of 733 are 733.Prime factorization of 733 in exponential form is:

733 = 7331

∴ So by taking common prime factors GCF of 727 and 733 is 1

Greatest Common Factor of 727 and 733 by matching factors method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors and prime factorization of 727 and 733. The biggest common factor number is the GCF number.
So the greatest common factor 727 and 733 is 1.

Also check out the Least Common Multiple of 727 and 733

Properties of GCF 727 and 733

(i) The GCF of 727 and 733 is associative

GCF of 727 and 733 = GCF of 733 and 727

Related Greatest Common Factor of 727

Related Greatest Common Factor of 733

Frequently Asked Questions on GCF of 727 and 733

1. What is the GCF of 727 and 733?

Answer: GCF of 727 and 733 is 1.

2. What are the Factors of 727?

Answer: Factors of 727 are 1, 727. There are 2 integers that are factors of 727. The greatest factor of 727 is 727.

3. What are the Factors of 733?

Answer: Factors of 733 are 1, 733. There are 2 integers that are factors of 733. The greatest factor of 733 is 733.

4. How to Find the GCF of 727 and 733?

Answer:

Greatest Common Factor of 727 and 733 = 1

Step 1: Find the prime factorization of 727

727 = 727

Step 2: Find the prime factorization of 733

733 = 733

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 727 and 733 is 1