What is the Greatest Common Factor of 86220 and 86240?

Greatest common factor (GCF) of 86220 and 86240 is 20.

GCF(86220,86240) = 20

We will now calculate the prime factors of 86220 and 86240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86220 and 86240.

How to find the GCF of 86220 and 86240?

We will first find the prime factorization of 86220 and 86240. After we will calculate the factors of 86220 and 86240 and find the biggest common factor number .

Step-1: Prime Factorization of 86220

Prime factors of 86220 are 2, 3, 5, 479. Prime factorization of 86220 in exponential form is:

86220 = 2² × 3² × 5¹ × 479¹

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 86220

List of positive integer factors of 86220 that divides 86220 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 479, 958, 1437, 1916, 2395, 2874, 4311, 4790, 5748, 7185, 8622, 9580, 14370, 17244, 21555, 28740, 43110

Step-4: Factors of 86240

List of positive integer factors of 86240 that divides 86220 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 86220 and 86240. The biggest common factor number is the GCF number.
So the greatest common factor 86220 and 86240 is 20.

Also check out the Least Common Multiple of 86220 and 86240