What is the Greatest Common Factor of 56256 and 56265?

Greatest common factor (GCF) of 56256 and 56265 is 3.

GCF(56256,56265) = 3

We will now calculate the prime factors of 56256 and 56265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56256 and 56265.

How to find the GCF of 56256 and 56265?

We will first find the prime factorization of 56256 and 56265. After we will calculate the factors of 56256 and 56265 and find the biggest common factor number .

Step-1: Prime Factorization of 56256

Prime factors of 56256 are 2, 3, 293. Prime factorization of 56256 in exponential form is:

56256 = 2⁶ × 3¹ × 293¹

Step-2: Prime Factorization of 56265

Prime factors of 56265 are 3, 5, 11, 31. Prime factorization of 56265 in exponential form is:

56265 = 3¹ × 5¹ × 11² × 31¹

Step-3: Factors of 56256

List of positive integer factors of 56256 that divides 56256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 293, 586, 879, 1172, 1758, 2344, 3516, 4688, 7032, 9376, 14064, 18752, 28128

Step-4: Factors of 56265

List of positive integer factors of 56265 that divides 56256 without a remainder.

1, 3, 5, 11, 15, 31, 33, 55, 93, 121, 155, 165, 341, 363, 465, 605, 1023, 1705, 1815, 3751, 5115, 11253, 18755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56256 and 56265. The biggest common factor number is the GCF number.
So the greatest common factor 56256 and 56265 is 3.

Also check out the Least Common Multiple of 56256 and 56265