What is the Greatest Common Factor of 82944 and 82956?

Greatest common factor (GCF) of 82944 and 82956 is 12.

GCF(82944,82956) = 12

We will now calculate the prime factors of 82944 and 82956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82944 and 82956.

How to find the GCF of 82944 and 82956?

We will first find the prime factorization of 82944 and 82956. After we will calculate the factors of 82944 and 82956 and find the biggest common factor number .

Step-1: Prime Factorization of 82944

Prime factors of 82944 are 2, 3. Prime factorization of 82944 in exponential form is:

82944 = 2¹⁰ × 3⁴

Step-2: Prime Factorization of 82956

Prime factors of 82956 are 2, 3, 31, 223. Prime factorization of 82956 in exponential form is:

82956 = 2² × 3¹ × 31¹ × 223¹

Step-3: Factors of 82944

List of positive integer factors of 82944 that divides 82944 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 128, 144, 162, 192, 216, 256, 288, 324, 384, 432, 512, 576, 648, 768, 864, 1024, 1152, 1296, 1536, 1728, 2304, 2592, 3072, 3456, 4608, 5184, 6912, 9216, 10368, 13824, 20736, 27648, 41472

Step-4: Factors of 82956

List of positive integer factors of 82956 that divides 82944 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 223, 372, 446, 669, 892, 1338, 2676, 6913, 13826, 20739, 27652, 41478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82944 and 82956. The biggest common factor number is the GCF number.
So the greatest common factor 82944 and 82956 is 12.

Also check out the Least Common Multiple of 82944 and 82956