What is the Greatest Common Factor of 56304 and 56319?

Greatest common factor (GCF) of 56304 and 56319 is 3.

GCF(56304,56319) = 3

We will now calculate the prime factors of 56304 and 56319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56304 and 56319.

How to find the GCF of 56304 and 56319?

We will first find the prime factorization of 56304 and 56319. After we will calculate the factors of 56304 and 56319 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 56319

Prime factors of 56319 are 3, 18773. Prime factorization of 56319 in exponential form is:

56319 = 3¹ × 18773¹

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 56319

List of positive integer factors of 56319 that divides 56304 without a remainder.

1, 3, 18773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56304 and 56319. The biggest common factor number is the GCF number.
So the greatest common factor 56304 and 56319 is 3.

Also check out the Least Common Multiple of 56304 and 56319