What is the Greatest Common Factor of 56304 and 56322?

Greatest common factor (GCF) of 56304 and 56322 is 18.

GCF(56304,56322) = 18

We will now calculate the prime factors of 56304 and 56322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56304 and 56322.

How to find the GCF of 56304 and 56322?

We will first find the prime factorization of 56304 and 56322. After we will calculate the factors of 56304 and 56322 and find the biggest common factor number .

Step-1: Prime Factorization of 56304

Prime factors of 56304 are 2, 3, 17, 23. Prime factorization of 56304 in exponential form is:

56304 = 2⁴ × 3² × 17¹ × 23¹

Step-2: Prime Factorization of 56322

Prime factors of 56322 are 2, 3, 7, 149. Prime factorization of 56322 in exponential form is:

56322 = 2¹ × 3³ × 7¹ × 149¹

Step-3: Factors of 56304

List of positive integer factors of 56304 that divides 56304 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 23, 24, 34, 36, 46, 48, 51, 68, 69, 72, 92, 102, 136, 138, 144, 153, 184, 204, 207, 272, 276, 306, 368, 391, 408, 414, 552, 612, 782, 816, 828, 1104, 1173, 1224, 1564, 1656, 2346, 2448, 3128, 3312, 3519, 4692, 6256, 7038, 9384, 14076, 18768, 28152

Step-4: Factors of 56322

List of positive integer factors of 56322 that divides 56304 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 149, 189, 298, 378, 447, 894, 1043, 1341, 2086, 2682, 3129, 4023, 6258, 8046, 9387, 18774, 28161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56304 and 56322. The biggest common factor number is the GCF number.
So the greatest common factor 56304 and 56322 is 18.

Also check out the Least Common Multiple of 56304 and 56322