What is the Greatest Common Factor of 85825 and 85838?

Greatest common factor (GCF) of 85825 and 85838 is 1.

GCF(85825,85838) = 1

We will now calculate the prime factors of 85825 and 85838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85825 and 85838.

How to find the GCF of 85825 and 85838?

We will first find the prime factorization of 85825 and 85838. After we will calculate the factors of 85825 and 85838 and find the biggest common factor number .

Step-1: Prime Factorization of 85825

Prime factors of 85825 are 5, 3433. Prime factorization of 85825 in exponential form is:

85825 = 5² × 3433¹

Step-2: Prime Factorization of 85838

Prime factors of 85838 are 2, 167, 257. Prime factorization of 85838 in exponential form is:

85838 = 2¹ × 167¹ × 257¹

Step-3: Factors of 85825

List of positive integer factors of 85825 that divides 85825 without a remainder.

1, 5, 25, 3433, 17165

Step-4: Factors of 85838

List of positive integer factors of 85838 that divides 85825 without a remainder.

1, 2, 167, 257, 334, 514, 42919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85825 and 85838. The biggest common factor number is the GCF number.
So the greatest common factor 85825 and 85838 is 1.

Also check out the Least Common Multiple of 85825 and 85838