What is the Greatest Common Factor of 82270 and 82289?

Greatest common factor (GCF) of 82270 and 82289 is 19.

GCF(82270,82289) = 19

We will now calculate the prime factors of 82270 and 82289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82270 and 82289.

How to find the GCF of 82270 and 82289?

We will first find the prime factorization of 82270 and 82289. After we will calculate the factors of 82270 and 82289 and find the biggest common factor number .

Step-1: Prime Factorization of 82270

Prime factors of 82270 are 2, 5, 19, 433. Prime factorization of 82270 in exponential form is:

82270 = 2¹ × 5¹ × 19¹ × 433¹

Step-2: Prime Factorization of 82289

Prime factors of 82289 are 19, 61, 71. Prime factorization of 82289 in exponential form is:

82289 = 19¹ × 61¹ × 71¹

Step-3: Factors of 82270

List of positive integer factors of 82270 that divides 82270 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 433, 866, 2165, 4330, 8227, 16454, 41135

Step-4: Factors of 82289

List of positive integer factors of 82289 that divides 82270 without a remainder.

1, 19, 61, 71, 1159, 1349, 4331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82270 and 82289. The biggest common factor number is the GCF number.
So the greatest common factor 82270 and 82289 is 19.

Also check out the Least Common Multiple of 82270 and 82289