What is the Greatest Common Factor of 82248 and 82260?

Greatest common factor (GCF) of 82248 and 82260 is 12.

GCF(82248,82260) = 12

We will now calculate the prime factors of 82248 and 82260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82248 and 82260.

How to find the GCF of 82248 and 82260?

We will first find the prime factorization of 82248 and 82260. After we will calculate the factors of 82248 and 82260 and find the biggest common factor number .

Step-1: Prime Factorization of 82248

Prime factors of 82248 are 2, 3, 23, 149. Prime factorization of 82248 in exponential form is:

82248 = 2³ × 3¹ × 23¹ × 149¹

Step-2: 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-3: Factors of 82248

List of positive integer factors of 82248 that divides 82248 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 149, 184, 276, 298, 447, 552, 596, 894, 1192, 1788, 3427, 3576, 6854, 10281, 13708, 20562, 27416, 41124

Step-4: Factors of 82260

List of positive integer factors of 82260 that divides 82248 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82248 and 82260. The biggest common factor number is the GCF number.
So the greatest common factor 82248 and 82260 is 12.

Also check out the Least Common Multiple of 82248 and 82260