What is the Greatest Common Factor of 85802 and 85822?

Greatest common factor (GCF) of 85802 and 85822 is 2.

GCF(85802,85822) = 2

We will now calculate the prime factors of 85802 and 85822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85802 and 85822.

How to find the GCF of 85802 and 85822?

We will first find the prime factorization of 85802 and 85822. After we will calculate the factors of 85802 and 85822 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 85822

Prime factors of 85822 are 2, 11, 47, 83. Prime factorization of 85822 in exponential form is:

85822 = 2¹ × 11¹ × 47¹ × 83¹

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 85822

List of positive integer factors of 85822 that divides 85802 without a remainder.

1, 2, 11, 22, 47, 83, 94, 166, 517, 913, 1034, 1826, 3901, 7802, 42911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85802 and 85822. The biggest common factor number is the GCF number.
So the greatest common factor 85802 and 85822 is 2.

Also check out the Least Common Multiple of 85802 and 85822