What is the Greatest Common Factor of 86240 and 86256?

Greatest common factor (GCF) of 86240 and 86256 is 16.

GCF(86240,86256) = 16

We will now calculate the prime factors of 86240 and 86256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86240 and 86256.

How to find the GCF of 86240 and 86256?

We will first find the prime factorization of 86240 and 86256. After we will calculate the factors of 86240 and 86256 and find the biggest common factor number .

Step-1: Prime Factorization of 86240

Prime factors of 86240 are 2, 5, 7, 11. Prime factorization of 86240 in exponential form is:

86240 = 2⁵ × 5¹ × 7² × 11¹

Step-2: Prime Factorization of 86256

Prime factors of 86256 are 2, 3, 599. Prime factorization of 86256 in exponential form is:

86256 = 2⁴ × 3² × 599¹

Step-3: Factors of 86240

List of positive integer factors of 86240 that divides 86240 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 32, 35, 40, 44, 49, 55, 56, 70, 77, 80, 88, 98, 110, 112, 140, 154, 160, 176, 196, 220, 224, 245, 280, 308, 352, 385, 392, 440, 490, 539, 560, 616, 770, 784, 880, 980, 1078, 1120, 1232, 1540, 1568, 1760, 1960, 2156, 2464, 2695, 3080, 3920, 4312, 5390, 6160, 7840, 8624, 10780, 12320, 17248, 21560, 43120

Step-4: Factors of 86256

List of positive integer factors of 86256 that divides 86240 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 599, 1198, 1797, 2396, 3594, 4792, 5391, 7188, 9584, 10782, 14376, 21564, 28752, 43128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86240 and 86256. The biggest common factor number is the GCF number.
So the greatest common factor 86240 and 86256 is 16.

Also check out the Least Common Multiple of 86240 and 86256