What is the Greatest Common Factor of 86240 and 86250?

Greatest common factor (GCF) of 86240 and 86250 is 10.

GCF(86240,86250) = 10

We will now calculate the prime factors of 86240 and 86250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86240 and 86250.

How to find the GCF of 86240 and 86250?

We will first find the prime factorization of 86240 and 86250. After we will calculate the factors of 86240 and 86250 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 86250

Prime factors of 86250 are 2, 3, 5, 23. Prime factorization of 86250 in exponential form is:

86250 = 2¹ × 3¹ × 5⁴ × 23¹

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 86250

List of positive integer factors of 86250 that divides 86240 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 125, 138, 150, 230, 250, 345, 375, 575, 625, 690, 750, 1150, 1250, 1725, 1875, 2875, 3450, 3750, 5750, 8625, 14375, 17250, 28750, 43125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86240 and 86250. The biggest common factor number is the GCF number.
So the greatest common factor 86240 and 86250 is 10.

Also check out the Least Common Multiple of 86240 and 86250