What is the Greatest Common Factor of 81360 and 81369?

Greatest common factor (GCF) of 81360 and 81369 is 9.

GCF(81360,81369) = 9

We will now calculate the prime factors of 81360 and 81369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81360 and 81369.

How to find the GCF of 81360 and 81369?

We will first find the prime factorization of 81360 and 81369. After we will calculate the factors of 81360 and 81369 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81369

Prime factors of 81369 are 3, 9041. Prime factorization of 81369 in exponential form is:

81369 = 3² × 9041¹

Step-3: Factors of 81360

List of positive integer factors of 81360 that divides 81360 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

Step-4: Factors of 81369

List of positive integer factors of 81369 that divides 81360 without a remainder.

1, 3, 9, 9041, 27123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81360 and 81369. The biggest common factor number is the GCF number.
So the greatest common factor 81360 and 81369 is 9.

Also check out the Least Common Multiple of 81360 and 81369