What is the Greatest Common Factor of 85838 and 85849?

Greatest common factor (GCF) of 85838 and 85849 is 1.

GCF(85838,85849) = 1

We will now calculate the prime factors of 85838 and 85849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85838 and 85849.

How to find the GCF of 85838 and 85849?

We will first find the prime factorization of 85838 and 85849. After we will calculate the factors of 85838 and 85849 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85849

Prime factors of 85849 are 293. Prime factorization of 85849 in exponential form is:

85849 = 293²

Step-3: Factors of 85838

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

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

Step-4: Factors of 85849

List of positive integer factors of 85849 that divides 85838 without a remainder.

1, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85838 and 85849. The biggest common factor number is the GCF number.
So the greatest common factor 85838 and 85849 is 1.

Also check out the Least Common Multiple of 85838 and 85849