What is the Greatest Common Factor of 85852 and 85858?

Greatest common factor (GCF) of 85852 and 85858 is 2.

GCF(85852,85858) = 2

We will now calculate the prime factors of 85852 and 85858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85852 and 85858.

How to find the GCF of 85852 and 85858?

We will first find the prime factorization of 85852 and 85858. After we will calculate the factors of 85852 and 85858 and find the biggest common factor number .

Step-1: Prime Factorization of 85852

Prime factors of 85852 are 2, 13, 127. Prime factorization of 85852 in exponential form is:

85852 = 2² × 13² × 127¹

Step-2: Prime Factorization of 85858

Prime factors of 85858 are 2, 42929. Prime factorization of 85858 in exponential form is:

85858 = 2¹ × 42929¹

Step-3: Factors of 85852

List of positive integer factors of 85852 that divides 85852 without a remainder.

1, 2, 4, 13, 26, 52, 127, 169, 254, 338, 508, 676, 1651, 3302, 6604, 21463, 42926

Step-4: Factors of 85858

List of positive integer factors of 85858 that divides 85852 without a remainder.

1, 2, 42929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85852 and 85858. The biggest common factor number is the GCF number.
So the greatest common factor 85852 and 85858 is 2.

Also check out the Least Common Multiple of 85852 and 85858