What is the Greatest Common Factor of 85950 and 85954?

Greatest common factor (GCF) of 85950 and 85954 is 2.

GCF(85950,85954) = 2

We will now calculate the prime factors of 85950 and 85954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85950 and 85954.

How to find the GCF of 85950 and 85954?

We will first find the prime factorization of 85950 and 85954. After we will calculate the factors of 85950 and 85954 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 85954

Prime factors of 85954 are 2, 11, 3907. Prime factorization of 85954 in exponential form is:

85954 = 2¹ × 11¹ × 3907¹

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 85954

List of positive integer factors of 85954 that divides 85950 without a remainder.

1, 2, 11, 22, 3907, 7814, 42977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85950 and 85954. The biggest common factor number is the GCF number.
So the greatest common factor 85950 and 85954 is 2.

Also check out the Least Common Multiple of 85950 and 85954