What is the Greatest Common Factor of 81342 and 81360?

Greatest common factor (GCF) of 81342 and 81360 is 18.

GCF(81342,81360) = 18

We will now calculate the prime factors of 81342 and 81360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81342 and 81360.

How to find the GCF of 81342 and 81360?

We will first find the prime factorization of 81342 and 81360. After we will calculate the factors of 81342 and 81360 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 81360

Prime factors of 81360 are 2, 3, 5, 113. Prime factorization of 81360 in exponential form is:

81360 = 2⁴ × 3² × 5¹ × 113¹

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 81360

List of positive integer factors of 81360 that divides 81342 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 113, 120, 144, 180, 226, 240, 339, 360, 452, 565, 678, 720, 904, 1017, 1130, 1356, 1695, 1808, 2034, 2260, 2712, 3390, 4068, 4520, 5085, 5424, 6780, 8136, 9040, 10170, 13560, 16272, 20340, 27120, 40680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81342 and 81360. The biggest common factor number is the GCF number.
So the greatest common factor 81342 and 81360 is 18.

Also check out the Least Common Multiple of 81342 and 81360