What is the Greatest Common Factor of 82244 and 82248?

Greatest common factor (GCF) of 82244 and 82248 is 4.

GCF(82244,82248) = 4

We will now calculate the prime factors of 82244 and 82248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82244 and 82248.

How to find the GCF of 82244 and 82248?

We will first find the prime factorization of 82244 and 82248. After we will calculate the factors of 82244 and 82248 and find the biggest common factor number .

Step-1: Prime Factorization of 82244

Prime factors of 82244 are 2, 29, 709. Prime factorization of 82244 in exponential form is:

82244 = 2² × 29¹ × 709¹

Step-2: 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-3: Factors of 82244

List of positive integer factors of 82244 that divides 82244 without a remainder.

1, 2, 4, 29, 58, 116, 709, 1418, 2836, 20561, 41122

Step-4: Factors of 82248

List of positive integer factors of 82248 that divides 82244 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82244 and 82248. The biggest common factor number is the GCF number.
So the greatest common factor 82244 and 82248 is 4.

Also check out the Least Common Multiple of 82244 and 82248