What is the Greatest Common Factor of 85050 and 85058?

Greatest common factor (GCF) of 85050 and 85058 is 2.

GCF(85050,85058) = 2

We will now calculate the prime factors of 85050 and 85058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85050 and 85058.

How to find the GCF of 85050 and 85058?

We will first find the prime factorization of 85050 and 85058. After we will calculate the factors of 85050 and 85058 and find the biggest common factor number .

Step-1: Prime Factorization of 85050

Prime factors of 85050 are 2, 3, 5, 7. Prime factorization of 85050 in exponential form is:

85050 = 2¹ × 3⁵ × 5² × 7¹

Step-2: Prime Factorization of 85058

Prime factors of 85058 are 2, 71, 599. Prime factorization of 85058 in exponential form is:

85058 = 2¹ × 71¹ × 599¹

Step-3: Factors of 85050

List of positive integer factors of 85050 that divides 85050 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 81, 90, 105, 126, 135, 150, 162, 175, 189, 210, 225, 243, 270, 315, 350, 378, 405, 450, 486, 525, 567, 630, 675, 810, 945, 1050, 1134, 1215, 1350, 1575, 1701, 1890, 2025, 2430, 2835, 3150, 3402, 4050, 4725, 5670, 6075, 8505, 9450, 12150, 14175, 17010, 28350, 42525

Step-4: Factors of 85058

List of positive integer factors of 85058 that divides 85050 without a remainder.

1, 2, 71, 142, 599, 1198, 42529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85050 and 85058. The biggest common factor number is the GCF number.
So the greatest common factor 85050 and 85058 is 2.

Also check out the Least Common Multiple of 85050 and 85058