What is the Greatest Common Factor of 738 and 751?

Greatest common factor (GCF) of 738 and 751 is 1.

GCF(738,751) = 1

We will now calculate the prime factors of 738 and 751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 738 and 751.

How to find the GCF of 738 and 751?

We will first find the prime factorization of 738 and 751. After we will calculate the factors of 738 and 751 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 751

Prime factors of 751 are 751. Prime factorization of 751 in exponential form is:

751 = 751¹

Step-3: Factors of 738

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

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

Step-4: Factors of 751

List of positive integer factors of 751 that divides 738 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 738 and 751. The biggest common factor number is the GCF number.
So the greatest common factor 738 and 751 is 1.

Also check out the Least Common Multiple of 738 and 751