What is the Greatest Common Factor of 81730 and 81750?

Greatest common factor (GCF) of 81730 and 81750 is 10.

GCF(81730,81750) = 10

We will now calculate the prime factors of 81730 and 81750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81730 and 81750.

How to find the GCF of 81730 and 81750?

We will first find the prime factorization of 81730 and 81750. After we will calculate the factors of 81730 and 81750 and find the biggest common factor number .

Step-1: Prime Factorization of 81730

Prime factors of 81730 are 2, 5, 11, 743. Prime factorization of 81730 in exponential form is:

81730 = 2¹ × 5¹ × 11¹ × 743¹

Step-2: Prime Factorization of 81750

Prime factors of 81750 are 2, 3, 5, 109. Prime factorization of 81750 in exponential form is:

81750 = 2¹ × 3¹ × 5³ × 109¹

Step-3: Factors of 81730

List of positive integer factors of 81730 that divides 81730 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 743, 1486, 3715, 7430, 8173, 16346, 40865

Step-4: Factors of 81750

List of positive integer factors of 81750 that divides 81730 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 109, 125, 150, 218, 250, 327, 375, 545, 654, 750, 1090, 1635, 2725, 3270, 5450, 8175, 13625, 16350, 27250, 40875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81730 and 81750. The biggest common factor number is the GCF number.
So the greatest common factor 81730 and 81750 is 10.

Also check out the Least Common Multiple of 81730 and 81750