What is the Greatest Common Factor of 81740 and 81750?

Greatest common factor (GCF) of 81740 and 81750 is 10.

GCF(81740,81750) = 10

We will now calculate the prime factors of 81740 and 81750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81740 and 81750.

How to find the GCF of 81740 and 81750?

We will first find the prime factorization of 81740 and 81750. After we will calculate the factors of 81740 and 81750 and find the biggest common factor number .

Step-1: Prime Factorization of 81740

Prime factors of 81740 are 2, 5, 61, 67. Prime factorization of 81740 in exponential form is:

81740 = 2² × 5¹ × 61¹ × 67¹

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 81740

List of positive integer factors of 81740 that divides 81740 without a remainder.

1, 2, 4, 5, 10, 20, 61, 67, 122, 134, 244, 268, 305, 335, 610, 670, 1220, 1340, 4087, 8174, 16348, 20435, 40870

Step-4: Factors of 81750

List of positive integer factors of 81750 that divides 81740 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 81740 and 81750. The biggest common factor number is the GCF number.
So the greatest common factor 81740 and 81750 is 10.

Also check out the Least Common Multiple of 81740 and 81750