What is the Greatest Common Factor of 80487 and 80498?

Greatest common factor (GCF) of 80487 and 80498 is 11.

GCF(80487,80498) = 11

We will now calculate the prime factors of 80487 and 80498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80487 and 80498.

How to find the GCF of 80487 and 80498?

We will first find the prime factorization of 80487 and 80498. After we will calculate the factors of 80487 and 80498 and find the biggest common factor number .

Step-1: Prime Factorization of 80487

Prime factors of 80487 are 3, 11, 271. Prime factorization of 80487 in exponential form is:

80487 = 3³ × 11¹ × 271¹

Step-2: Prime Factorization of 80498

Prime factors of 80498 are 2, 11, 3659. Prime factorization of 80498 in exponential form is:

80498 = 2¹ × 11¹ × 3659¹

Step-3: Factors of 80487

List of positive integer factors of 80487 that divides 80487 without a remainder.

1, 3, 9, 11, 27, 33, 99, 271, 297, 813, 2439, 2981, 7317, 8943, 26829

Step-4: Factors of 80498

List of positive integer factors of 80498 that divides 80487 without a remainder.

1, 2, 11, 22, 3659, 7318, 40249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80487 and 80498. The biggest common factor number is the GCF number.
So the greatest common factor 80487 and 80498 is 11.

Also check out the Least Common Multiple of 80487 and 80498