What is the Greatest Common Factor of 85035 and 85050?

Greatest common factor (GCF) of 85035 and 85050 is 15.

GCF(85035,85050) = 15

We will now calculate the prime factors of 85035 and 85050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85035 and 85050.

How to find the GCF of 85035 and 85050?

We will first find the prime factorization of 85035 and 85050. After we will calculate the factors of 85035 and 85050 and find the biggest common factor number .

Step-1: Prime Factorization of 85035

Prime factors of 85035 are 3, 5, 5669. Prime factorization of 85035 in exponential form is:

85035 = 3¹ × 5¹ × 5669¹

Step-2: 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-3: Factors of 85035

List of positive integer factors of 85035 that divides 85035 without a remainder.

1, 3, 5, 15, 5669, 17007, 28345

Step-4: Factors of 85050

List of positive integer factors of 85050 that divides 85035 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85035 and 85050. The biggest common factor number is the GCF number.
So the greatest common factor 85035 and 85050 is 15.

Also check out the Least Common Multiple of 85035 and 85050