What is the Greatest Common Factor of 718 and 728?

Greatest common factor (GCF) of 718 and 728 is 2.

GCF(718,728) = 2

We will now calculate the prime factors of 718 and 728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 718 and 728.

How to find the GCF of 718 and 728?

We will first find the prime factorization of 718 and 728. After we will calculate the factors of 718 and 728 and find the biggest common factor number .

Step-1: Prime Factorization of 718

Prime factors of 718 are 2, 359. Prime factorization of 718 in exponential form is:

718 = 2¹ × 359¹

Step-2: Prime Factorization of 728

Prime factors of 728 are 2, 7, 13. Prime factorization of 728 in exponential form is:

728 = 2³ × 7¹ × 13¹

Step-3: Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1, 2, 359

Step-4: Factors of 728

List of positive integer factors of 728 that divides 718 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 718 and 728. The biggest common factor number is the GCF number.
So the greatest common factor 718 and 728 is 2.

Also check out the Least Common Multiple of 718 and 728