What is the Greatest Common Factor of 81770 and 81783?

Greatest common factor (GCF) of 81770 and 81783 is 13.

GCF(81770,81783) = 13

We will now calculate the prime factors of 81770 and 81783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81770 and 81783.

How to find the GCF of 81770 and 81783?

We will first find the prime factorization of 81770 and 81783. After we will calculate the factors of 81770 and 81783 and find the biggest common factor number .

Step-1: Prime Factorization of 81770

Prime factors of 81770 are 2, 5, 13, 17, 37. Prime factorization of 81770 in exponential form is:

81770 = 2¹ × 5¹ × 13¹ × 17¹ × 37¹

Step-2: Prime Factorization of 81783

Prime factors of 81783 are 3, 13, 233. Prime factorization of 81783 in exponential form is:

81783 = 3³ × 13¹ × 233¹

Step-3: Factors of 81770

List of positive integer factors of 81770 that divides 81770 without a remainder.

1, 2, 5, 10, 13, 17, 26, 34, 37, 65, 74, 85, 130, 170, 185, 221, 370, 442, 481, 629, 962, 1105, 1258, 2210, 2405, 3145, 4810, 6290, 8177, 16354, 40885

Step-4: Factors of 81783

List of positive integer factors of 81783 that divides 81770 without a remainder.

1, 3, 9, 13, 27, 39, 117, 233, 351, 699, 2097, 3029, 6291, 9087, 27261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81770 and 81783. The biggest common factor number is the GCF number.
So the greatest common factor 81770 and 81783 is 13.

Also check out the Least Common Multiple of 81770 and 81783