What is the Greatest Common Factor of 81674 and 81682?

Greatest common factor (GCF) of 81674 and 81682 is 2.

GCF(81674,81682) = 2

We will now calculate the prime factors of 81674 and 81682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81674 and 81682.

How to find the GCF of 81674 and 81682?

We will first find the prime factorization of 81674 and 81682. After we will calculate the factors of 81674 and 81682 and find the biggest common factor number .

Step-1: Prime Factorization of 81674

Prime factors of 81674 are 2, 97, 421. Prime factorization of 81674 in exponential form is:

81674 = 2¹ × 97¹ × 421¹

Step-2: Prime Factorization of 81682

Prime factors of 81682 are 2, 40841. Prime factorization of 81682 in exponential form is:

81682 = 2¹ × 40841¹

Step-3: Factors of 81674

List of positive integer factors of 81674 that divides 81674 without a remainder.

1, 2, 97, 194, 421, 842, 40837

Step-4: Factors of 81682

List of positive integer factors of 81682 that divides 81674 without a remainder.

1, 2, 40841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81674 and 81682. The biggest common factor number is the GCF number.
So the greatest common factor 81674 and 81682 is 2.

Also check out the Least Common Multiple of 81674 and 81682