What is the Greatest Common Factor of 81350 and 81360?

Greatest common factor (GCF) of 81350 and 81360 is 10.

GCF(81350,81360) = 10

We will now calculate the prime factors of 81350 and 81360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81350 and 81360.

How to find the GCF of 81350 and 81360?

We will first find the prime factorization of 81350 and 81360. After we will calculate the factors of 81350 and 81360 and find the biggest common factor number .

Step-1: Prime Factorization of 81350

Prime factors of 81350 are 2, 5, 1627. Prime factorization of 81350 in exponential form is:

81350 = 2¹ × 5² × 1627¹

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 81350

List of positive integer factors of 81350 that divides 81350 without a remainder.

1, 2, 5, 10, 25, 50, 1627, 3254, 8135, 16270, 40675

Step-4: Factors of 81360

List of positive integer factors of 81360 that divides 81350 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 81350 and 81360. The biggest common factor number is the GCF number.
So the greatest common factor 81350 and 81360 is 10.

Also check out the Least Common Multiple of 81350 and 81360