What is the Greatest Common Factor of 86090 and 86100?

Greatest common factor (GCF) of 86090 and 86100 is 10.

GCF(86090,86100) = 10

We will now calculate the prime factors of 86090 and 86100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86090 and 86100.

How to find the GCF of 86090 and 86100?

We will first find the prime factorization of 86090 and 86100. After we will calculate the factors of 86090 and 86100 and find the biggest common factor number .

Step-1: Prime Factorization of 86090

Prime factors of 86090 are 2, 5, 8609. Prime factorization of 86090 in exponential form is:

86090 = 2¹ × 5¹ × 8609¹

Step-2: Prime Factorization of 86100

Prime factors of 86100 are 2, 3, 5, 7, 41. Prime factorization of 86100 in exponential form is:

86100 = 2² × 3¹ × 5² × 7¹ × 41¹

Step-3: Factors of 86090

List of positive integer factors of 86090 that divides 86090 without a remainder.

1, 2, 5, 10, 8609, 17218, 43045

Step-4: Factors of 86100

List of positive integer factors of 86100 that divides 86090 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 41, 42, 50, 60, 70, 75, 82, 84, 100, 105, 123, 140, 150, 164, 175, 205, 210, 246, 287, 300, 350, 410, 420, 492, 525, 574, 615, 700, 820, 861, 1025, 1050, 1148, 1230, 1435, 1722, 2050, 2100, 2460, 2870, 3075, 3444, 4100, 4305, 5740, 6150, 7175, 8610, 12300, 14350, 17220, 21525, 28700, 43050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86090 and 86100. The biggest common factor number is the GCF number.
So the greatest common factor 86090 and 86100 is 10.

Also check out the Least Common Multiple of 86090 and 86100