What is the Greatest Common Factor of 81920 and 81935?

Greatest common factor (GCF) of 81920 and 81935 is 5.

GCF(81920,81935) = 5

We will now calculate the prime factors of 81920 and 81935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81920 and 81935.

How to find the GCF of 81920 and 81935?

We will first find the prime factorization of 81920 and 81935. After we will calculate the factors of 81920 and 81935 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 81935

Prime factors of 81935 are 5, 7, 2341. Prime factorization of 81935 in exponential form is:

81935 = 5¹ × 7¹ × 2341¹

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 81935

List of positive integer factors of 81935 that divides 81920 without a remainder.

1, 5, 7, 35, 2341, 11705, 16387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81920 and 81935. The biggest common factor number is the GCF number.
So the greatest common factor 81920 and 81935 is 5.

Also check out the Least Common Multiple of 81920 and 81935