What is the Greatest Common Factor of 81342 and 81355?

Greatest common factor (GCF) of 81342 and 81355 is 1.

GCF(81342,81355) = 1

We will now calculate the prime factors of 81342 and 81355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81342 and 81355.

How to find the GCF of 81342 and 81355?

We will first find the prime factorization of 81342 and 81355. After we will calculate the factors of 81342 and 81355 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 81355

Prime factors of 81355 are 5, 53, 307. Prime factorization of 81355 in exponential form is:

81355 = 5¹ × 53¹ × 307¹

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 81355

List of positive integer factors of 81355 that divides 81342 without a remainder.

1, 5, 53, 265, 307, 1535, 16271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81342 and 81355. The biggest common factor number is the GCF number.
So the greatest common factor 81342 and 81355 is 1.

Also check out the Least Common Multiple of 81342 and 81355