What is the Greatest Common Factor of 82272 and 82289?

Greatest common factor (GCF) of 82272 and 82289 is 1.

GCF(82272,82289) = 1

We will now calculate the prime factors of 82272 and 82289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82272 and 82289.

How to find the GCF of 82272 and 82289?

We will first find the prime factorization of 82272 and 82289. After we will calculate the factors of 82272 and 82289 and find the biggest common factor number .

Step-1: Prime Factorization of 82272

Prime factors of 82272 are 2, 3, 857. Prime factorization of 82272 in exponential form is:

82272 = 2⁵ × 3¹ × 857¹

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 82272

List of positive integer factors of 82272 that divides 82272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 857, 1714, 2571, 3428, 5142, 6856, 10284, 13712, 20568, 27424, 41136

Step-4: Factors of 82289

List of positive integer factors of 82289 that divides 82272 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82272 and 82289. The biggest common factor number is the GCF number.
So the greatest common factor 82272 and 82289 is 1.

Also check out the Least Common Multiple of 82272 and 82289