What is the Greatest Common Factor of 85036 and 85050?

Greatest common factor (GCF) of 85036 and 85050 is 14.

GCF(85036,85050) = 14

We will now calculate the prime factors of 85036 and 85050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85036 and 85050.

How to find the GCF of 85036 and 85050?

We will first find the prime factorization of 85036 and 85050. After we will calculate the factors of 85036 and 85050 and find the biggest common factor number .

Step-1: Prime Factorization of 85036

Prime factors of 85036 are 2, 7, 3037. Prime factorization of 85036 in exponential form is:

85036 = 2² × 7¹ × 3037¹

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 85036

List of positive integer factors of 85036 that divides 85036 without a remainder.

1, 2, 4, 7, 14, 28, 3037, 6074, 12148, 21259, 42518

Step-4: Factors of 85050

List of positive integer factors of 85050 that divides 85036 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 85036 and 85050. The biggest common factor number is the GCF number.
So the greatest common factor 85036 and 85050 is 14.

Also check out the Least Common Multiple of 85036 and 85050