What is the Greatest Common Factor of 727 and 744?

Greatest common factor (GCF) of 727 and 744 is 1.

GCF(727,744) = 1

We will now calculate the prime factors of 727 and 744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 727 and 744.

How to find the GCF of 727 and 744?

We will first find the prime factorization of 727 and 744. After we will calculate the factors of 727 and 744 and find the biggest common factor number .

Step-1: Prime Factorization of 727

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

727 = 727¹

Step-2: Prime Factorization of 744

Prime factors of 744 are 2, 3, 31. Prime factorization of 744 in exponential form is:

744 = 2³ × 3¹ × 31¹

Step-3: Factors of 727

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

Step-4: Factors of 744

List of positive integer factors of 744 that divides 727 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 727 and 744. The biggest common factor number is the GCF number.
So the greatest common factor 727 and 744 is 1.

Also check out the Least Common Multiple of 727 and 744