What is the Greatest Common Factor of 81382 and 81400?

Greatest common factor (GCF) of 81382 and 81400 is 2.

GCF(81382,81400) = 2

We will now calculate the prime factors of 81382 and 81400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81382 and 81400.

How to find the GCF of 81382 and 81400?

We will first find the prime factorization of 81382 and 81400. After we will calculate the factors of 81382 and 81400 and find the biggest common factor number .

Step-1: Prime Factorization of 81382

Prime factors of 81382 are 2, 7, 5813. Prime factorization of 81382 in exponential form is:

81382 = 2¹ × 7¹ × 5813¹

Step-2: Prime Factorization of 81400

Prime factors of 81400 are 2, 5, 11, 37. Prime factorization of 81400 in exponential form is:

81400 = 2³ × 5² × 11¹ × 37¹

Step-3: Factors of 81382

List of positive integer factors of 81382 that divides 81382 without a remainder.

1, 2, 7, 14, 5813, 11626, 40691

Step-4: Factors of 81400

List of positive integer factors of 81400 that divides 81382 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 37, 40, 44, 50, 55, 74, 88, 100, 110, 148, 185, 200, 220, 275, 296, 370, 407, 440, 550, 740, 814, 925, 1100, 1480, 1628, 1850, 2035, 2200, 3256, 3700, 4070, 7400, 8140, 10175, 16280, 20350, 40700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81382 and 81400. The biggest common factor number is the GCF number.
So the greatest common factor 81382 and 81400 is 2.

Also check out the Least Common Multiple of 81382 and 81400