What is the Greatest Common Factor of 86100 and 86120?

Greatest common factor (GCF) of 86100 and 86120 is 20.

GCF(86100,86120) = 20

We will now calculate the prime factors of 86100 and 86120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86100 and 86120.

How to find the GCF of 86100 and 86120?

We will first find the prime factorization of 86100 and 86120. After we will calculate the factors of 86100 and 86120 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86120

Prime factors of 86120 are 2, 5, 2153. Prime factorization of 86120 in exponential form is:

86120 = 2³ × 5¹ × 2153¹

Step-3: Factors of 86100

List of positive integer factors of 86100 that divides 86100 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

Step-4: Factors of 86120

List of positive integer factors of 86120 that divides 86100 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2153, 4306, 8612, 10765, 17224, 21530, 43060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86100 and 86120. The biggest common factor number is the GCF number.
So the greatest common factor 86100 and 86120 is 20.

Also check out the Least Common Multiple of 86100 and 86120