What is the Greatest Common Factor of 81776 and 81790?

Greatest common factor (GCF) of 81776 and 81790 is 2.

GCF(81776,81790) = 2

We will now calculate the prime factors of 81776 and 81790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81776 and 81790.

How to find the GCF of 81776 and 81790?

We will first find the prime factorization of 81776 and 81790. After we will calculate the factors of 81776 and 81790 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81790

Prime factors of 81790 are 2, 5, 8179. Prime factorization of 81790 in exponential form is:

81790 = 2¹ × 5¹ × 8179¹

Step-3: Factors of 81776

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

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

Step-4: Factors of 81790

List of positive integer factors of 81790 that divides 81776 without a remainder.

1, 2, 5, 10, 8179, 16358, 40895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81776 and 81790. The biggest common factor number is the GCF number.
So the greatest common factor 81776 and 81790 is 2.

Also check out the Least Common Multiple of 81776 and 81790