What is the Greatest Common Factor of 732 and 738?

Greatest common factor (GCF) of 732 and 738 is 6.

GCF(732,738) = 6

We will now calculate the prime factors of 732 and 738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 732 and 738.

How to find the GCF of 732 and 738?

We will first find the prime factorization of 732 and 738. After we will calculate the factors of 732 and 738 and find the biggest common factor number .

Step-1: Prime Factorization of 732

Prime factors of 732 are 2, 3, 61. Prime factorization of 732 in exponential form is:

732 = 2² × 3¹ × 61¹

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 732

List of positive integer factors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366

Step-4: Factors of 738

List of positive integer factors of 738 that divides 732 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 732 and 738. The biggest common factor number is the GCF number.
So the greatest common factor 732 and 738 is 6.

Also check out the Least Common Multiple of 732 and 738