What is the Greatest Common Factor of 85950 and 85968?

Greatest common factor (GCF) of 85950 and 85968 is 18.

GCF(85950,85968) = 18

We will now calculate the prime factors of 85950 and 85968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85950 and 85968.

How to find the GCF of 85950 and 85968?

We will first find the prime factorization of 85950 and 85968. After we will calculate the factors of 85950 and 85968 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 85968

Prime factors of 85968 are 2, 3, 199. Prime factorization of 85968 in exponential form is:

85968 = 2⁴ × 3³ × 199¹

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 85968

List of positive integer factors of 85968 that divides 85950 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 199, 216, 398, 432, 597, 796, 1194, 1592, 1791, 2388, 3184, 3582, 4776, 5373, 7164, 9552, 10746, 14328, 21492, 28656, 42984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85950 and 85968. The biggest common factor number is the GCF number.
So the greatest common factor 85950 and 85968 is 18.

Also check out the Least Common Multiple of 85950 and 85968