What is the Greatest Common Factor of 56240 and 56256?

Greatest common factor (GCF) of 56240 and 56256 is 16.

GCF(56240,56256) = 16

We will now calculate the prime factors of 56240 and 56256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56240 and 56256.

How to find the GCF of 56240 and 56256?

We will first find the prime factorization of 56240 and 56256. After we will calculate the factors of 56240 and 56256 and find the biggest common factor number .

Step-1: Prime Factorization of 56240

Prime factors of 56240 are 2, 5, 19, 37. Prime factorization of 56240 in exponential form is:

56240 = 2⁴ × 5¹ × 19¹ × 37¹

Step-2: 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-3: Factors of 56240

List of positive integer factors of 56240 that divides 56240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 37, 38, 40, 74, 76, 80, 95, 148, 152, 185, 190, 296, 304, 370, 380, 592, 703, 740, 760, 1406, 1480, 1520, 2812, 2960, 3515, 5624, 7030, 11248, 14060, 28120

Step-4: Factors of 56256

List of positive integer factors of 56256 that divides 56240 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56240 and 56256. The biggest common factor number is the GCF number.
So the greatest common factor 56240 and 56256 is 16.

Also check out the Least Common Multiple of 56240 and 56256