What is the Greatest Common Factor of 86229 and 86240?

Greatest common factor (GCF) of 86229 and 86240 is 11.

GCF(86229,86240) = 11

We will now calculate the prime factors of 86229 and 86240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86229 and 86240.

How to find the GCF of 86229 and 86240?

We will first find the prime factorization of 86229 and 86240. After we will calculate the factors of 86229 and 86240 and find the biggest common factor number .

Step-1: Prime Factorization of 86229

Prime factors of 86229 are 3, 11, 13, 67. Prime factorization of 86229 in exponential form is:

86229 = 3² × 11¹ × 13¹ × 67¹

Step-2: 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-3: Factors of 86229

List of positive integer factors of 86229 that divides 86229 without a remainder.

1, 3, 9, 11, 13, 33, 39, 67, 99, 117, 143, 201, 429, 603, 737, 871, 1287, 2211, 2613, 6633, 7839, 9581, 28743

Step-4: Factors of 86240

List of positive integer factors of 86240 that divides 86229 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86229 and 86240. The biggest common factor number is the GCF number.
So the greatest common factor 86229 and 86240 is 11.

Also check out the Least Common Multiple of 86229 and 86240