What is the Greatest Common Factor of 81342 and 81346?

Greatest common factor (GCF) of 81342 and 81346 is 2.

GCF(81342,81346) = 2

We will now calculate the prime factors of 81342 and 81346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81342 and 81346.

How to find the GCF of 81342 and 81346?

We will first find the prime factorization of 81342 and 81346. After we will calculate the factors of 81342 and 81346 and find the biggest common factor number .

Step-1: Prime Factorization of 81342

Prime factors of 81342 are 2, 3, 4519. Prime factorization of 81342 in exponential form is:

81342 = 2¹ × 3² × 4519¹

Step-2: Prime Factorization of 81346

Prime factors of 81346 are 2, 89, 457. Prime factorization of 81346 in exponential form is:

81346 = 2¹ × 89¹ × 457¹

Step-3: Factors of 81342

List of positive integer factors of 81342 that divides 81342 without a remainder.

1, 2, 3, 6, 9, 18, 4519, 9038, 13557, 27114, 40671

Step-4: Factors of 81346

List of positive integer factors of 81346 that divides 81342 without a remainder.

1, 2, 89, 178, 457, 914, 40673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81342 and 81346. The biggest common factor number is the GCF number.
So the greatest common factor 81342 and 81346 is 2.

Also check out the Least Common Multiple of 81342 and 81346