What is the Greatest Common Factor of 85950 and 85965?

Greatest common factor (GCF) of 85950 and 85965 is 15.

GCF(85950,85965) = 15

We will now calculate the prime factors of 85950 and 85965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85950 and 85965.

How to find the GCF of 85950 and 85965?

We will first find the prime factorization of 85950 and 85965. After we will calculate the factors of 85950 and 85965 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85965

Prime factors of 85965 are 3, 5, 11, 521. Prime factorization of 85965 in exponential form is:

85965 = 3¹ × 5¹ × 11¹ × 521¹

Step-3: Factors of 85950

List of positive integer factors of 85950 that divides 85950 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

Step-4: Factors of 85965

List of positive integer factors of 85965 that divides 85950 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 521, 1563, 2605, 5731, 7815, 17193, 28655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85950 and 85965. The biggest common factor number is the GCF number.
So the greatest common factor 85950 and 85965 is 15.

Also check out the Least Common Multiple of 85950 and 85965