What is the Greatest Common Factor of 82260 and 82272?

Greatest common factor (GCF) of 82260 and 82272 is 12.

GCF(82260,82272) = 12

We will now calculate the prime factors of 82260 and 82272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82260 and 82272.

How to find the GCF of 82260 and 82272?

We will first find the prime factorization of 82260 and 82272. After we will calculate the factors of 82260 and 82272 and find the biggest common factor number .

Step-1: Prime Factorization of 82260

Prime factors of 82260 are 2, 3, 5, 457. Prime factorization of 82260 in exponential form is:

82260 = 2² × 3² × 5¹ × 457¹

Step-2: 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-3: Factors of 82260

List of positive integer factors of 82260 that divides 82260 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 457, 914, 1371, 1828, 2285, 2742, 4113, 4570, 5484, 6855, 8226, 9140, 13710, 16452, 20565, 27420, 41130

Step-4: Factors of 82272

List of positive integer factors of 82272 that divides 82260 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82260 and 82272. The biggest common factor number is the GCF number.
So the greatest common factor 82260 and 82272 is 12.

Also check out the Least Common Multiple of 82260 and 82272