What is the Greatest Common Factor of 85838 and 85844?

Greatest common factor (GCF) of 85838 and 85844 is 2.

GCF(85838,85844) = 2

We will now calculate the prime factors of 85838 and 85844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85838 and 85844.

How to find the GCF of 85838 and 85844?

We will first find the prime factorization of 85838 and 85844. After we will calculate the factors of 85838 and 85844 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 85844

Prime factors of 85844 are 2, 11, 1951. Prime factorization of 85844 in exponential form is:

85844 = 2² × 11¹ × 1951¹

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 85844

List of positive integer factors of 85844 that divides 85838 without a remainder.

1, 2, 4, 11, 22, 44, 1951, 3902, 7804, 21461, 42922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85838 and 85844. The biggest common factor number is the GCF number.
So the greatest common factor 85838 and 85844 is 2.

Also check out the Least Common Multiple of 85838 and 85844