What is the Greatest Common Factor of 85802 and 85814?

Greatest common factor (GCF) of 85802 and 85814 is 2.

GCF(85802,85814) = 2

We will now calculate the prime factors of 85802 and 85814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85802 and 85814.

How to find the GCF of 85802 and 85814?

We will first find the prime factorization of 85802 and 85814. After we will calculate the factors of 85802 and 85814 and find the biggest common factor number .

Step-1: Prime Factorization of 85802

Prime factors of 85802 are 2, 42901. Prime factorization of 85802 in exponential form is:

85802 = 2¹ × 42901¹

Step-2: 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-3: Factors of 85802

List of positive integer factors of 85802 that divides 85802 without a remainder.

1, 2, 42901

Step-4: Factors of 85814

List of positive integer factors of 85814 that divides 85802 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85802 and 85814. The biggest common factor number is the GCF number.
So the greatest common factor 85802 and 85814 is 2.

Also check out the Least Common Multiple of 85802 and 85814