What is the Greatest Common Factor of 81498 and 81509?

Greatest common factor (GCF) of 81498 and 81509 is 1.

GCF(81498,81509) = 1

We will now calculate the prime factors of 81498 and 81509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81498 and 81509.

How to find the GCF of 81498 and 81509?

We will first find the prime factorization of 81498 and 81509. After we will calculate the factors of 81498 and 81509 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81509

Prime factors of 81509 are 81509. Prime factorization of 81509 in exponential form is:

81509 = 81509¹

Step-3: Factors of 81498

List of positive integer factors of 81498 that divides 81498 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

Step-4: Factors of 81509

List of positive integer factors of 81509 that divides 81498 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81498 and 81509. The biggest common factor number is the GCF number.
So the greatest common factor 81498 and 81509 is 1.

Also check out the Least Common Multiple of 81498 and 81509