What is the Greatest Common Factor of 85822 and 85833?

Greatest common factor (GCF) of 85822 and 85833 is 11.

GCF(85822,85833) = 11

We will now calculate the prime factors of 85822 and 85833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85822 and 85833.

How to find the GCF of 85822 and 85833?

We will first find the prime factorization of 85822 and 85833. After we will calculate the factors of 85822 and 85833 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85833

Prime factors of 85833 are 3, 11, 17. Prime factorization of 85833 in exponential form is:

85833 = 3³ × 11¹ × 17²

Step-3: Factors of 85822

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

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

Step-4: Factors of 85833

List of positive integer factors of 85833 that divides 85822 without a remainder.

1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 289, 297, 459, 561, 867, 1683, 2601, 3179, 5049, 7803, 9537, 28611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85822 and 85833. The biggest common factor number is the GCF number.
So the greatest common factor 85822 and 85833 is 11.

Also check out the Least Common Multiple of 85822 and 85833