What is the Greatest Common Factor of 85812 and 85829?

Greatest common factor (GCF) of 85812 and 85829 is 1.

GCF(85812,85829) = 1

We will now calculate the prime factors of 85812 and 85829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85812 and 85829.

How to find the GCF of 85812 and 85829?

We will first find the prime factorization of 85812 and 85829. After we will calculate the factors of 85812 and 85829 and find the biggest common factor number .

Step-1: Prime Factorization of 85812

Prime factors of 85812 are 2, 3, 7151. Prime factorization of 85812 in exponential form is:

85812 = 2² × 3¹ × 7151¹

Step-2: Prime Factorization of 85829

Prime factors of 85829 are 85829. Prime factorization of 85829 in exponential form is:

85829 = 85829¹

Step-3: Factors of 85812

List of positive integer factors of 85812 that divides 85812 without a remainder.

1, 2, 3, 4, 6, 12, 7151, 14302, 21453, 28604, 42906

Step-4: Factors of 85829

List of positive integer factors of 85829 that divides 85812 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85812 and 85829. The biggest common factor number is the GCF number.
So the greatest common factor 85812 and 85829 is 1.

Also check out the Least Common Multiple of 85812 and 85829