What is the Greatest Common Factor of 81424 and 81440?

Greatest common factor (GCF) of 81424 and 81440 is 16.

GCF(81424,81440) = 16

We will now calculate the prime factors of 81424 and 81440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81424 and 81440.

How to find the GCF of 81424 and 81440?

We will first find the prime factorization of 81424 and 81440. After we will calculate the factors of 81424 and 81440 and find the biggest common factor number .

Step-1: Prime Factorization of 81424

Prime factors of 81424 are 2, 7, 727. Prime factorization of 81424 in exponential form is:

81424 = 2⁴ × 7¹ × 727¹

Step-2: Prime Factorization of 81440

Prime factors of 81440 are 2, 5, 509. Prime factorization of 81440 in exponential form is:

81440 = 2⁵ × 5¹ × 509¹

Step-3: Factors of 81424

List of positive integer factors of 81424 that divides 81424 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 727, 1454, 2908, 5089, 5816, 10178, 11632, 20356, 40712

Step-4: Factors of 81440

List of positive integer factors of 81440 that divides 81424 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 509, 1018, 2036, 2545, 4072, 5090, 8144, 10180, 16288, 20360, 40720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81424 and 81440. The biggest common factor number is the GCF number.
So the greatest common factor 81424 and 81440 is 16.

Also check out the Least Common Multiple of 81424 and 81440