What is the Greatest Common Factor of 81360 and 81372?

Greatest common factor (GCF) of 81360 and 81372 is 12.

GCF(81360,81372) = 12

We will now calculate the prime factors of 81360 and 81372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81360 and 81372.

How to find the GCF of 81360 and 81372?

We will first find the prime factorization of 81360 and 81372. After we will calculate the factors of 81360 and 81372 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 81372

Prime factors of 81372 are 2, 3, 6781. Prime factorization of 81372 in exponential form is:

81372 = 2² × 3¹ × 6781¹

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 81372

List of positive integer factors of 81372 that divides 81360 without a remainder.

1, 2, 3, 4, 6, 12, 6781, 13562, 20343, 27124, 40686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81360 and 81372. The biggest common factor number is the GCF number.
So the greatest common factor 81360 and 81372 is 12.

Also check out the Least Common Multiple of 81360 and 81372