What is the Greatest Common Factor of 36928 and 36945?

Greatest common factor (GCF) of 36928 and 36945 is 1.

GCF(36928,36945) = 1

We will now calculate the prime factors of 36928 and 36945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36928 and 36945.

How to find the GCF of 36928 and 36945?

We will first find the prime factorization of 36928 and 36945. After we will calculate the factors of 36928 and 36945 and find the biggest common factor number .

Step-1: Prime Factorization of 36928

Prime factors of 36928 are 2, 577. Prime factorization of 36928 in exponential form is:

36928 = 2⁶ × 577¹

Step-2: Prime Factorization of 36945

Prime factors of 36945 are 3, 5, 821. Prime factorization of 36945 in exponential form is:

36945 = 3² × 5¹ × 821¹

Step-3: Factors of 36928

List of positive integer factors of 36928 that divides 36928 without a remainder.

1, 2, 4, 8, 16, 32, 64, 577, 1154, 2308, 4616, 9232, 18464

Step-4: Factors of 36945

List of positive integer factors of 36945 that divides 36928 without a remainder.

1, 3, 5, 9, 15, 45, 821, 2463, 4105, 7389, 12315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36928 and 36945. The biggest common factor number is the GCF number.
So the greatest common factor 36928 and 36945 is 1.

Also check out the Least Common Multiple of 36928 and 36945