What is the Greatest Common Factor of 81726 and 81734?

Greatest common factor (GCF) of 81726 and 81734 is 2.

GCF(81726,81734) = 2

We will now calculate the prime factors of 81726 and 81734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81726 and 81734.

How to find the GCF of 81726 and 81734?

We will first find the prime factorization of 81726 and 81734. After we will calculate the factors of 81726 and 81734 and find the biggest common factor number .

Step-1: Prime Factorization of 81726

Prime factors of 81726 are 2, 3, 53, 257. Prime factorization of 81726 in exponential form is:

81726 = 2¹ × 3¹ × 53¹ × 257¹

Step-2: Prime Factorization of 81734

Prime factors of 81734 are 2, 40867. Prime factorization of 81734 in exponential form is:

81734 = 2¹ × 40867¹

Step-3: Factors of 81726

List of positive integer factors of 81726 that divides 81726 without a remainder.

1, 2, 3, 6, 53, 106, 159, 257, 318, 514, 771, 1542, 13621, 27242, 40863

Step-4: Factors of 81734

List of positive integer factors of 81734 that divides 81726 without a remainder.

1, 2, 40867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81726 and 81734. The biggest common factor number is the GCF number.
So the greatest common factor 81726 and 81734 is 2.

Also check out the Least Common Multiple of 81726 and 81734