What is the Greatest Common Factor of 85814 and 85821?

Greatest common factor (GCF) of 85814 and 85821 is 1.

GCF(85814,85821) = 1

We will now calculate the prime factors of 85814 and 85821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85814 and 85821.

How to find the GCF of 85814 and 85821?

We will first find the prime factorization of 85814 and 85821. After we will calculate the factors of 85814 and 85821 and find the biggest common factor number .

Step-1: Prime Factorization of 85814

Prime factors of 85814 are 2, 107, 401. Prime factorization of 85814 in exponential form is:

85814 = 2¹ × 107¹ × 401¹

Step-2: Prime Factorization of 85821

Prime factors of 85821 are 3, 28607. Prime factorization of 85821 in exponential form is:

85821 = 3¹ × 28607¹

Step-3: Factors of 85814

List of positive integer factors of 85814 that divides 85814 without a remainder.

1, 2, 107, 214, 401, 802, 42907

Step-4: Factors of 85821

List of positive integer factors of 85821 that divides 85814 without a remainder.

1, 3, 28607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85814 and 85821. The biggest common factor number is the GCF number.
So the greatest common factor 85814 and 85821 is 1.

Also check out the Least Common Multiple of 85814 and 85821