What is the Greatest Common Factor of 81024 and 81036?

Greatest common factor (GCF) of 81024 and 81036 is 12.

GCF(81024,81036) = 12

We will now calculate the prime factors of 81024 and 81036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81024 and 81036.

How to find the GCF of 81024 and 81036?

We will first find the prime factorization of 81024 and 81036. After we will calculate the factors of 81024 and 81036 and find the biggest common factor number .

Step-1: Prime Factorization of 81024

Prime factors of 81024 are 2, 3, 211. Prime factorization of 81024 in exponential form is:

81024 = 2⁷ × 3¹ × 211¹

Step-2: Prime Factorization of 81036

Prime factors of 81036 are 2, 3, 2251. Prime factorization of 81036 in exponential form is:

81036 = 2² × 3² × 2251¹

Step-3: Factors of 81024

List of positive integer factors of 81024 that divides 81024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 211, 384, 422, 633, 844, 1266, 1688, 2532, 3376, 5064, 6752, 10128, 13504, 20256, 27008, 40512

Step-4: Factors of 81036

List of positive integer factors of 81036 that divides 81024 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2251, 4502, 6753, 9004, 13506, 20259, 27012, 40518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81024 and 81036. The biggest common factor number is the GCF number.
So the greatest common factor 81024 and 81036 is 12.

Also check out the Least Common Multiple of 81024 and 81036