What is the Greatest Common Factor of 85925 and 85935?

Greatest common factor (GCF) of 85925 and 85935 is 5.

GCF(85925,85935) = 5

We will now calculate the prime factors of 85925 and 85935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85925 and 85935.

How to find the GCF of 85925 and 85935?

We will first find the prime factorization of 85925 and 85935. After we will calculate the factors of 85925 and 85935 and find the biggest common factor number .

Step-1: Prime Factorization of 85925

Prime factors of 85925 are 5, 7, 491. Prime factorization of 85925 in exponential form is:

85925 = 5² × 7¹ × 491¹

Step-2: Prime Factorization of 85935

Prime factors of 85935 are 3, 5, 17, 337. Prime factorization of 85935 in exponential form is:

85935 = 3¹ × 5¹ × 17¹ × 337¹

Step-3: Factors of 85925

List of positive integer factors of 85925 that divides 85925 without a remainder.

1, 5, 7, 25, 35, 175, 491, 2455, 3437, 12275, 17185

Step-4: Factors of 85935

List of positive integer factors of 85935 that divides 85925 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 337, 1011, 1685, 5055, 5729, 17187, 28645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85925 and 85935. The biggest common factor number is the GCF number.
So the greatest common factor 85925 and 85935 is 5.

Also check out the Least Common Multiple of 85925 and 85935