What is the Greatest Common Factor of 80586 and 80597?

Greatest common factor (GCF) of 80586 and 80597 is 11.

GCF(80586,80597) = 11

We will now calculate the prime factors of 80586 and 80597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80586 and 80597.

How to find the GCF of 80586 and 80597?

We will first find the prime factorization of 80586 and 80597. After we will calculate the factors of 80586 and 80597 and find the biggest common factor number .

Step-1: Prime Factorization of 80586

Prime factors of 80586 are 2, 3, 11, 37. Prime factorization of 80586 in exponential form is:

80586 = 2¹ × 3² × 11² × 37¹

Step-2: Prime Factorization of 80597

Prime factors of 80597 are 11, 17, 431. Prime factorization of 80597 in exponential form is:

80597 = 11¹ × 17¹ × 431¹

Step-3: Factors of 80586

List of positive integer factors of 80586 that divides 80586 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 37, 66, 74, 99, 111, 121, 198, 222, 242, 333, 363, 407, 666, 726, 814, 1089, 1221, 2178, 2442, 3663, 4477, 7326, 8954, 13431, 26862, 40293

Step-4: Factors of 80597

List of positive integer factors of 80597 that divides 80586 without a remainder.

1, 11, 17, 187, 431, 4741, 7327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80586 and 80597. The biggest common factor number is the GCF number.
So the greatest common factor 80586 and 80597 is 11.

Also check out the Least Common Multiple of 80586 and 80597