What is the Greatest Common Factor of 719 and 738?

Greatest common factor (GCF) of 719 and 738 is 1.

GCF(719,738) = 1

We will now calculate the prime factors of 719 and 738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 719 and 738.

How to find the GCF of 719 and 738?

We will first find the prime factorization of 719 and 738. After we will calculate the factors of 719 and 738 and find the biggest common factor number .

Step-1: Prime Factorization of 719

Prime factors of 719 are 719. Prime factorization of 719 in exponential form is:

719 = 719¹

Step-2: Prime Factorization of 738

Prime factors of 738 are 2, 3, 41. Prime factorization of 738 in exponential form is:

738 = 2¹ × 3² × 41¹

Step-3: Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

Step-4: Factors of 738

List of positive integer factors of 738 that divides 719 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 719 and 738. The biggest common factor number is the GCF number.
So the greatest common factor 719 and 738 is 1.

Also check out the Least Common Multiple of 719 and 738