What is the Greatest Common Factor of 56304 and 56315?

Greatest common factor (GCF) of 56304 and 56315 is 1.

GCF(56304,56315) = 1

We will now calculate the prime factors of 56304 and 56315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56304 and 56315.

How to find the GCF of 56304 and 56315?

We will first find the prime factorization of 56304 and 56315. After we will calculate the factors of 56304 and 56315 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 56315

Prime factors of 56315 are 5, 7, 1609. Prime factorization of 56315 in exponential form is:

56315 = 5¹ × 7¹ × 1609¹

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 56315

List of positive integer factors of 56315 that divides 56304 without a remainder.

1, 5, 7, 35, 1609, 8045, 11263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56304 and 56315. The biggest common factor number is the GCF number.
So the greatest common factor 56304 and 56315 is 1.

Also check out the Least Common Multiple of 56304 and 56315