What is the Greatest Common Factor of 85050 and 85066?

Greatest common factor (GCF) of 85050 and 85066 is 2.

GCF(85050,85066) = 2

We will now calculate the prime factors of 85050 and 85066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85050 and 85066.

How to find the GCF of 85050 and 85066?

We will first find the prime factorization of 85050 and 85066. After we will calculate the factors of 85050 and 85066 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 85066

Prime factors of 85066 are 2, 42533. Prime factorization of 85066 in exponential form is:

85066 = 2¹ × 42533¹

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 85066

List of positive integer factors of 85066 that divides 85050 without a remainder.

1, 2, 42533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85050 and 85066. The biggest common factor number is the GCF number.
So the greatest common factor 85050 and 85066 is 2.

Also check out the Least Common Multiple of 85050 and 85066