What is the Greatest Common Factor of 81757 and 81770?

Greatest common factor (GCF) of 81757 and 81770 is 13.

GCF(81757,81770) = 13

We will now calculate the prime factors of 81757 and 81770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81757 and 81770.

How to find the GCF of 81757 and 81770?

We will first find the prime factorization of 81757 and 81770. After we will calculate the factors of 81757 and 81770 and find the biggest common factor number .

Step-1: Prime Factorization of 81757

Prime factors of 81757 are 13, 19, 331. Prime factorization of 81757 in exponential form is:

81757 = 13¹ × 19¹ × 331¹

Step-2: 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-3: Factors of 81757

List of positive integer factors of 81757 that divides 81757 without a remainder.

1, 13, 19, 247, 331, 4303, 6289

Step-4: Factors of 81770

List of positive integer factors of 81770 that divides 81757 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81757 and 81770. The biggest common factor number is the GCF number.
So the greatest common factor 81757 and 81770 is 13.

Also check out the Least Common Multiple of 81757 and 81770