What is the Greatest Common Factor of 62304 and 62322?

Greatest common factor (GCF) of 62304 and 62322 is 6.

GCF(62304,62322) = 6

We will now calculate the prime factors of 62304 and 62322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62304 and 62322.

How to find the GCF of 62304 and 62322?

We will first find the prime factorization of 62304 and 62322. After we will calculate the factors of 62304 and 62322 and find the biggest common factor number .

Step-1: Prime Factorization of 62304

Prime factors of 62304 are 2, 3, 11, 59. Prime factorization of 62304 in exponential form is:

62304 = 2⁵ × 3¹ × 11¹ × 59¹

Step-2: Prime Factorization of 62322

Prime factors of 62322 are 2, 3, 13, 17, 47. Prime factorization of 62322 in exponential form is:

62322 = 2¹ × 3¹ × 13¹ × 17¹ × 47¹

Step-3: Factors of 62304

List of positive integer factors of 62304 that divides 62304 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 59, 66, 88, 96, 118, 132, 176, 177, 236, 264, 352, 354, 472, 528, 649, 708, 944, 1056, 1298, 1416, 1888, 1947, 2596, 2832, 3894, 5192, 5664, 7788, 10384, 15576, 20768, 31152

Step-4: Factors of 62322

List of positive integer factors of 62322 that divides 62304 without a remainder.

1, 2, 3, 6, 13, 17, 26, 34, 39, 47, 51, 78, 94, 102, 141, 221, 282, 442, 611, 663, 799, 1222, 1326, 1598, 1833, 2397, 3666, 4794, 10387, 20774, 31161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62304 and 62322. The biggest common factor number is the GCF number.
So the greatest common factor 62304 and 62322 is 6.

Also check out the Least Common Multiple of 62304 and 62322