What is the Greatest Common Factor of 85050 and 85070?

Greatest common factor (GCF) of 85050 and 85070 is 10.

GCF(85050,85070) = 10

We will now calculate the prime factors of 85050 and 85070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85050 and 85070.

How to find the GCF of 85050 and 85070?

We will first find the prime factorization of 85050 and 85070. After we will calculate the factors of 85050 and 85070 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 85070

Prime factors of 85070 are 2, 5, 47, 181. Prime factorization of 85070 in exponential form is:

85070 = 2¹ × 5¹ × 47¹ × 181¹

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 85070

List of positive integer factors of 85070 that divides 85050 without a remainder.

1, 2, 5, 10, 47, 94, 181, 235, 362, 470, 905, 1810, 8507, 17014, 42535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85050 and 85070. The biggest common factor number is the GCF number.
So the greatest common factor 85050 and 85070 is 10.

Also check out the Least Common Multiple of 85050 and 85070