What is the Greatest Common Factor of 82944 and 82962?

Greatest common factor (GCF) of 82944 and 82962 is 18.

GCF(82944,82962) = 18

We will now calculate the prime factors of 82944 and 82962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82944 and 82962.

How to find the GCF of 82944 and 82962?

We will first find the prime factorization of 82944 and 82962. After we will calculate the factors of 82944 and 82962 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 82962

Prime factors of 82962 are 2, 3, 11, 419. Prime factorization of 82962 in exponential form is:

82962 = 2¹ × 3² × 11¹ × 419¹

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 82962

List of positive integer factors of 82962 that divides 82944 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 419, 838, 1257, 2514, 3771, 4609, 7542, 9218, 13827, 27654, 41481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82944 and 82962. The biggest common factor number is the GCF number.
So the greatest common factor 82944 and 82962 is 18.

Also check out the Least Common Multiple of 82944 and 82962