What is the Greatest Common Factor of 85950 and 85960?

Greatest common factor (GCF) of 85950 and 85960 is 10.

GCF(85950,85960) = 10

We will now calculate the prime factors of 85950 and 85960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85950 and 85960.

How to find the GCF of 85950 and 85960?

We will first find the prime factorization of 85950 and 85960. After we will calculate the factors of 85950 and 85960 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 85960

Prime factors of 85960 are 2, 5, 7, 307. Prime factorization of 85960 in exponential form is:

85960 = 2³ × 5¹ × 7¹ × 307¹

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 85960

List of positive integer factors of 85960 that divides 85950 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 307, 614, 1228, 1535, 2149, 2456, 3070, 4298, 6140, 8596, 10745, 12280, 17192, 21490, 42980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85950 and 85960. The biggest common factor number is the GCF number.
So the greatest common factor 85950 and 85960 is 10.

Also check out the Least Common Multiple of 85950 and 85960