What is the Greatest Common Factor of 81482 and 81498?

Greatest common factor (GCF) of 81482 and 81498 is 2.

GCF(81482,81498) = 2

We will now calculate the prime factors of 81482 and 81498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81482 and 81498.

How to find the GCF of 81482 and 81498?

We will first find the prime factorization of 81482 and 81498. After we will calculate the factors of 81482 and 81498 and find the biggest common factor number .

Step-1: Prime Factorization of 81482

Prime factors of 81482 are 2, 131, 311. Prime factorization of 81482 in exponential form is:

81482 = 2¹ × 131¹ × 311¹

Step-2: Prime Factorization of 81498

Prime factors of 81498 are 2, 3, 17, 47. Prime factorization of 81498 in exponential form is:

81498 = 2¹ × 3¹ × 17² × 47¹

Step-3: Factors of 81482

List of positive integer factors of 81482 that divides 81482 without a remainder.

1, 2, 131, 262, 311, 622, 40741

Step-4: Factors of 81498

List of positive integer factors of 81498 that divides 81482 without a remainder.

1, 2, 3, 6, 17, 34, 47, 51, 94, 102, 141, 282, 289, 578, 799, 867, 1598, 1734, 2397, 4794, 13583, 27166, 40749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81482 and 81498. The biggest common factor number is the GCF number.
So the greatest common factor 81482 and 81498 is 2.

Also check out the Least Common Multiple of 81482 and 81498