What is the Greatest Common Factor of 81360 and 81380?

Greatest common factor (GCF) of 81360 and 81380 is 20.

GCF(81360,81380) = 20

We will now calculate the prime factors of 81360 and 81380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81360 and 81380.

How to find the GCF of 81360 and 81380?

We will first find the prime factorization of 81360 and 81380. After we will calculate the factors of 81360 and 81380 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 81380

Prime factors of 81380 are 2, 5, 13, 313. Prime factorization of 81380 in exponential form is:

81380 = 2² × 5¹ × 13¹ × 313¹

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 81380

List of positive integer factors of 81380 that divides 81360 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 313, 626, 1252, 1565, 3130, 4069, 6260, 8138, 16276, 20345, 40690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81360 and 81380. The biggest common factor number is the GCF number.
So the greatest common factor 81360 and 81380 is 20.

Also check out the Least Common Multiple of 81360 and 81380