What is the Greatest Common Factor of 81024 and 81040?

Greatest common factor (GCF) of 81024 and 81040 is 16.

GCF(81024,81040) = 16

We will now calculate the prime factors of 81024 and 81040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81024 and 81040.

How to find the GCF of 81024 and 81040?

We will first find the prime factorization of 81024 and 81040. After we will calculate the factors of 81024 and 81040 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 81040

Prime factors of 81040 are 2, 5, 1013. Prime factorization of 81040 in exponential form is:

81040 = 2⁴ × 5¹ × 1013¹

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 81040

List of positive integer factors of 81040 that divides 81024 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1013, 2026, 4052, 5065, 8104, 10130, 16208, 20260, 40520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81024 and 81040. The biggest common factor number is the GCF number.
So the greatest common factor 81024 and 81040 is 16.

Also check out the Least Common Multiple of 81024 and 81040