What is the Greatest Common Factor of 85838 and 85843?

Greatest common factor (GCF) of 85838 and 85843 is 1.

GCF(85838,85843) = 1

We will now calculate the prime factors of 85838 and 85843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85838 and 85843.

How to find the GCF of 85838 and 85843?

We will first find the prime factorization of 85838 and 85843. After we will calculate the factors of 85838 and 85843 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 85843

Prime factors of 85843 are 85843. Prime factorization of 85843 in exponential form is:

85843 = 85843¹

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 85843

List of positive integer factors of 85843 that divides 85838 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85838 and 85843. The biggest common factor number is the GCF number.
So the greatest common factor 85838 and 85843 is 1.

Also check out the Least Common Multiple of 85838 and 85843