What is the Greatest Common Factor of 82944 and 82958?

Greatest common factor (GCF) of 82944 and 82958 is 2.

GCF(82944,82958) = 2

We will now calculate the prime factors of 82944 and 82958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82944 and 82958.

How to find the GCF of 82944 and 82958?

We will first find the prime factorization of 82944 and 82958. After we will calculate the factors of 82944 and 82958 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 82958

Prime factors of 82958 are 2, 41479. Prime factorization of 82958 in exponential form is:

82958 = 2¹ × 41479¹

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 82958

List of positive integer factors of 82958 that divides 82944 without a remainder.

1, 2, 41479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82944 and 82958. The biggest common factor number is the GCF number.
So the greatest common factor 82944 and 82958 is 2.

Also check out the Least Common Multiple of 82944 and 82958