What is the Greatest Common Factor of 85092 and 85100?

Greatest common factor (GCF) of 85092 and 85100 is 4.

GCF(85092,85100) = 4

We will now calculate the prime factors of 85092 and 85100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85092 and 85100.

How to find the GCF of 85092 and 85100?

We will first find the prime factorization of 85092 and 85100. After we will calculate the factors of 85092 and 85100 and find the biggest common factor number .

Step-1: Prime Factorization of 85092

Prime factors of 85092 are 2, 3, 7, 1013. Prime factorization of 85092 in exponential form is:

85092 = 2² × 3¹ × 7¹ × 1013¹

Step-2: 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-3: Factors of 85092

List of positive integer factors of 85092 that divides 85092 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1013, 2026, 3039, 4052, 6078, 7091, 12156, 14182, 21273, 28364, 42546

Step-4: Factors of 85100

List of positive integer factors of 85100 that divides 85092 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85092 and 85100. The biggest common factor number is the GCF number.
So the greatest common factor 85092 and 85100 is 4.

Also check out the Least Common Multiple of 85092 and 85100