What is the Greatest Common Factor of 81440 and 81445?

Greatest common factor (GCF) of 81440 and 81445 is 5.

GCF(81440,81445) = 5

We will now calculate the prime factors of 81440 and 81445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81440 and 81445.

How to find the GCF of 81440 and 81445?

We will first find the prime factorization of 81440 and 81445. After we will calculate the factors of 81440 and 81445 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81445

Prime factors of 81445 are 5, 7, 13, 179. Prime factorization of 81445 in exponential form is:

81445 = 5¹ × 7¹ × 13¹ × 179¹

Step-3: Factors of 81440

List of positive integer factors of 81440 that divides 81440 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

Step-4: Factors of 81445

List of positive integer factors of 81445 that divides 81440 without a remainder.

1, 5, 7, 13, 35, 65, 91, 179, 455, 895, 1253, 2327, 6265, 11635, 16289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81440 and 81445. The biggest common factor number is the GCF number.
So the greatest common factor 81440 and 81445 is 5.

Also check out the Least Common Multiple of 81440 and 81445