What is the Greatest Common Factor of 85100 and 85116?

Greatest common factor (GCF) of 85100 and 85116 is 4.

GCF(85100,85116) = 4

We will now calculate the prime factors of 85100 and 85116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85100 and 85116.

How to find the GCF of 85100 and 85116?

We will first find the prime factorization of 85100 and 85116. After we will calculate the factors of 85100 and 85116 and find the biggest common factor number .

Step-1: Prime Factorization of 85100

Prime factors of 85100 are 2, 5, 23, 37. Prime factorization of 85100 in exponential form is:

85100 = 2² × 5² × 23¹ × 37¹

Step-2: Prime Factorization of 85116

Prime factors of 85116 are 2, 3, 41, 173. Prime factorization of 85116 in exponential form is:

85116 = 2² × 3¹ × 41¹ × 173¹

Step-3: Factors of 85100

List of positive integer factors of 85100 that divides 85100 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 37, 46, 50, 74, 92, 100, 115, 148, 185, 230, 370, 460, 575, 740, 851, 925, 1150, 1702, 1850, 2300, 3404, 3700, 4255, 8510, 17020, 21275, 42550

Step-4: Factors of 85116

List of positive integer factors of 85116 that divides 85100 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 173, 246, 346, 492, 519, 692, 1038, 2076, 7093, 14186, 21279, 28372, 42558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85100 and 85116. The biggest common factor number is the GCF number.
So the greatest common factor 85100 and 85116 is 4.

Also check out the Least Common Multiple of 85100 and 85116