What is the Greatest Common Factor of 81382 and 81398?

Greatest common factor (GCF) of 81382 and 81398 is 2.

GCF(81382,81398) = 2

We will now calculate the prime factors of 81382 and 81398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81382 and 81398.

How to find the GCF of 81382 and 81398?

We will first find the prime factorization of 81382 and 81398. After we will calculate the factors of 81382 and 81398 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 81398

Prime factors of 81398 are 2, 40699. Prime factorization of 81398 in exponential form is:

81398 = 2¹ × 40699¹

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 81398

List of positive integer factors of 81398 that divides 81382 without a remainder.

1, 2, 40699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81382 and 81398. The biggest common factor number is the GCF number.
So the greatest common factor 81382 and 81398 is 2.

Also check out the Least Common Multiple of 81382 and 81398