What is the Greatest Common Factor of 81920 and 81931?

Greatest common factor (GCF) of 81920 and 81931 is 1.

GCF(81920,81931) = 1

We will now calculate the prime factors of 81920 and 81931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81920 and 81931.

How to find the GCF of 81920 and 81931?

We will first find the prime factorization of 81920 and 81931. After we will calculate the factors of 81920 and 81931 and find the biggest common factor number .

Step-1: Prime Factorization of 81920

Prime factors of 81920 are 2, 5. Prime factorization of 81920 in exponential form is:

81920 = 2¹⁴ × 5¹

Step-2: Prime Factorization of 81931

Prime factors of 81931 are 81931. Prime factorization of 81931 in exponential form is:

81931 = 81931¹

Step-3: Factors of 81920

List of positive integer factors of 81920 that divides 81920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2048, 2560, 4096, 5120, 8192, 10240, 16384, 20480, 40960

Step-4: Factors of 81931

List of positive integer factors of 81931 that divides 81920 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81920 and 81931. The biggest common factor number is the GCF number.
So the greatest common factor 81920 and 81931 is 1.

Also check out the Least Common Multiple of 81920 and 81931