What is the Greatest Common Factor of 82272 and 82284?

Greatest common factor (GCF) of 82272 and 82284 is 12.

GCF(82272,82284) = 12

We will now calculate the prime factors of 82272 and 82284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82272 and 82284.

How to find the GCF of 82272 and 82284?

We will first find the prime factorization of 82272 and 82284. After we will calculate the factors of 82272 and 82284 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 82284

Prime factors of 82284 are 2, 3, 6857. Prime factorization of 82284 in exponential form is:

82284 = 2² × 3¹ × 6857¹

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 82284

List of positive integer factors of 82284 that divides 82272 without a remainder.

1, 2, 3, 4, 6, 12, 6857, 13714, 20571, 27428, 41142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82272 and 82284. The biggest common factor number is the GCF number.
So the greatest common factor 82272 and 82284 is 12.

Also check out the Least Common Multiple of 82272 and 82284