What is the Greatest Common Factor of 81770 and 81776?

Greatest common factor (GCF) of 81770 and 81776 is 2.

GCF(81770,81776) = 2

We will now calculate the prime factors of 81770 and 81776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81770 and 81776.

How to find the GCF of 81770 and 81776?

We will first find the prime factorization of 81770 and 81776. After we will calculate the factors of 81770 and 81776 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 81776

Prime factors of 81776 are 2, 19, 269. Prime factorization of 81776 in exponential form is:

81776 = 2⁴ × 19¹ × 269¹

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 81776

List of positive integer factors of 81776 that divides 81770 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 269, 304, 538, 1076, 2152, 4304, 5111, 10222, 20444, 40888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81770 and 81776. The biggest common factor number is the GCF number.
So the greatest common factor 81770 and 81776 is 2.

Also check out the Least Common Multiple of 81770 and 81776