What is the Greatest Common Factor of 85941 and 85950?

Greatest common factor (GCF) of 85941 and 85950 is 9.

GCF(85941,85950) = 9

We will now calculate the prime factors of 85941 and 85950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85941 and 85950.

How to find the GCF of 85941 and 85950?

We will first find the prime factorization of 85941 and 85950. After we will calculate the factors of 85941 and 85950 and find the biggest common factor number .

Step-1: Prime Factorization of 85941

Prime factors of 85941 are 3, 1061. Prime factorization of 85941 in exponential form is:

85941 = 3⁴ × 1061¹

Step-2: Prime Factorization of 85950

Prime factors of 85950 are 2, 3, 5, 191. Prime factorization of 85950 in exponential form is:

85950 = 2¹ × 3² × 5² × 191¹

Step-3: Factors of 85941

List of positive integer factors of 85941 that divides 85941 without a remainder.

1, 3, 9, 27, 81, 1061, 3183, 9549, 28647

Step-4: Factors of 85950

List of positive integer factors of 85950 that divides 85941 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 191, 225, 382, 450, 573, 955, 1146, 1719, 1910, 2865, 3438, 4775, 5730, 8595, 9550, 14325, 17190, 28650, 42975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85941 and 85950. The biggest common factor number is the GCF number.
So the greatest common factor 85941 and 85950 is 9.

Also check out the Least Common Multiple of 85941 and 85950