What is the Greatest Common Factor of 85940 and 85950?

Greatest common factor (GCF) of 85940 and 85950 is 10.

GCF(85940,85950) = 10

We will now calculate the prime factors of 85940 and 85950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85940 and 85950.

How to find the GCF of 85940 and 85950?

We will first find the prime factorization of 85940 and 85950. After we will calculate the factors of 85940 and 85950 and find the biggest common factor number .

Step-1: Prime Factorization of 85940

Prime factors of 85940 are 2, 5, 4297. Prime factorization of 85940 in exponential form is:

85940 = 2² × 5¹ × 4297¹

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 85940

List of positive integer factors of 85940 that divides 85940 without a remainder.

1, 2, 4, 5, 10, 20, 4297, 8594, 17188, 21485, 42970

Step-4: Factors of 85950

List of positive integer factors of 85950 that divides 85940 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 85940 and 85950. The biggest common factor number is the GCF number.
So the greatest common factor 85940 and 85950 is 10.

Also check out the Least Common Multiple of 85940 and 85950