What is the Greatest Common Factor of 81334 and 81338?

Greatest common factor (GCF) of 81334 and 81338 is 2.

GCF(81334,81338) = 2

We will now calculate the prime factors of 81334 and 81338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81334 and 81338.

How to find the GCF of 81334 and 81338?

We will first find the prime factorization of 81334 and 81338. After we will calculate the factors of 81334 and 81338 and find the biggest common factor number .

Step-1: Prime Factorization of 81334

Prime factors of 81334 are 2, 11, 3697. Prime factorization of 81334 in exponential form is:

81334 = 2¹ × 11¹ × 3697¹

Step-2: Prime Factorization of 81338

Prime factors of 81338 are 2, 67, 607. Prime factorization of 81338 in exponential form is:

81338 = 2¹ × 67¹ × 607¹

Step-3: Factors of 81334

List of positive integer factors of 81334 that divides 81334 without a remainder.

1, 2, 11, 22, 3697, 7394, 40667

Step-4: Factors of 81338

List of positive integer factors of 81338 that divides 81334 without a remainder.

1, 2, 67, 134, 607, 1214, 40669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81334 and 81338. The biggest common factor number is the GCF number.
So the greatest common factor 81334 and 81338 is 2.

Also check out the Least Common Multiple of 81334 and 81338