Greatest Common Factor of 727 and 731

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

• Greatest Common Factor of 727 and 731 by prime factorization method
• Greatest Common Factor of 727 and 731 by matching factors method

Prime Factorization of 727

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

727 = 727¹

Prime Factorization of 731

Prime factors of 731 are 17.Prime factorization of 731 in exponential form is:

731 = 17¹×43¹

∴ So by taking common prime factors GCF of 727 and 731 is 1

Factors of 727

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

1,727

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors and prime factorization of 727 and 731. The biggest common factor number is the GCF number.
So the greatest common factor 727 and 731 is 1.

Also check out the Least Common Multiple of 727 and 731

(i) The GCF of 727 and 731 is associative

GCF of 727 and 731 = GCF of 731 and 727

1. What is the GCF of 727 and 731?

Answer: GCF of 727 and 731 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 731?

Answer: Factors of 731 are 1, 17, 43, 731. There are 4 integers that are factors of 731. The greatest factor of 731 is 731.

4. How to Find the GCF of 727 and 731?

Answer:

Greatest Common Factor of 727 and 731 = 1

Step 1: Find the prime factorization of 727

727 = 727

Step 2: Find the prime factorization of 731

731 = 17 x 43

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 731 is 1