What is the Greatest Common Factor of 89728 and 89738?

Greatest common factor (GCF) of 89728 and 89738 is 2.

GCF(89728,89738) = 2

We will now calculate the prime factors of 89728 and 89738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89728 and 89738.

How to find the GCF of 89728 and 89738?

We will first find the prime factorization of 89728 and 89738. After we will calculate the factors of 89728 and 89738 and find the biggest common factor number .

Step-1: Prime Factorization of 89728

Prime factors of 89728 are 2, 701. Prime factorization of 89728 in exponential form is:

89728 = 2⁷ × 701¹

Step-2: Prime Factorization of 89738

Prime factors of 89738 are 2, 11, 4079. Prime factorization of 89738 in exponential form is:

89738 = 2¹ × 11¹ × 4079¹

Step-3: Factors of 89728

List of positive integer factors of 89728 that divides 89728 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 701, 1402, 2804, 5608, 11216, 22432, 44864

Step-4: Factors of 89738

List of positive integer factors of 89738 that divides 89728 without a remainder.

1, 2, 11, 22, 4079, 8158, 44869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89728 and 89738. The biggest common factor number is the GCF number.
So the greatest common factor 89728 and 89738 is 2.

Also check out the Least Common Multiple of 89728 and 89738