What is the Greatest Common Factor of 81920 and 81924?

Greatest common factor (GCF) of 81920 and 81924 is 4.

GCF(81920,81924) = 4

We will now calculate the prime factors of 81920 and 81924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81920 and 81924.

How to find the GCF of 81920 and 81924?

We will first find the prime factorization of 81920 and 81924. After we will calculate the factors of 81920 and 81924 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 81924

Prime factors of 81924 are 2, 3, 6827. Prime factorization of 81924 in exponential form is:

81924 = 2² × 3¹ × 6827¹

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 81924

List of positive integer factors of 81924 that divides 81920 without a remainder.

1, 2, 3, 4, 6, 12, 6827, 13654, 20481, 27308, 40962

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81920 and 81924. The biggest common factor number is the GCF number.
So the greatest common factor 81920 and 81924 is 4.

Also check out the Least Common Multiple of 81920 and 81924