What is the Greatest Common Factor of 81440 and 81450?

Greatest common factor (GCF) of 81440 and 81450 is 10.

GCF(81440,81450) = 10

We will now calculate the prime factors of 81440 and 81450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81440 and 81450.

How to find the GCF of 81440 and 81450?

We will first find the prime factorization of 81440 and 81450. After we will calculate the factors of 81440 and 81450 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 81450

Prime factors of 81450 are 2, 3, 5, 181. Prime factorization of 81450 in exponential form is:

81450 = 2¹ × 3² × 5² × 181¹

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 81450

List of positive integer factors of 81450 that divides 81440 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 181, 225, 362, 450, 543, 905, 1086, 1629, 1810, 2715, 3258, 4525, 5430, 8145, 9050, 13575, 16290, 27150, 40725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81440 and 81450. The biggest common factor number is the GCF number.
So the greatest common factor 81440 and 81450 is 10.

Also check out the Least Common Multiple of 81440 and 81450