What is the Greatest Common Factor of 90822 and 90837?

Greatest common factor (GCF) of 90822 and 90837 is 3.

GCF(90822,90837) = 3

We will now calculate the prime factors of 90822 and 90837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90822 and 90837.

How to find the GCF of 90822 and 90837?

We will first find the prime factorization of 90822 and 90837. After we will calculate the factors of 90822 and 90837 and find the biggest common factor number .

Step-1: Prime Factorization of 90822

Prime factors of 90822 are 2, 3, 15137. Prime factorization of 90822 in exponential form is:

90822 = 2¹ × 3¹ × 15137¹

Step-2: Prime Factorization of 90837

Prime factors of 90837 are 3, 10093. Prime factorization of 90837 in exponential form is:

90837 = 3² × 10093¹

Step-3: Factors of 90822

List of positive integer factors of 90822 that divides 90822 without a remainder.

1, 2, 3, 6, 15137, 30274, 45411

Step-4: Factors of 90837

List of positive integer factors of 90837 that divides 90822 without a remainder.

1, 3, 9, 10093, 30279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90822 and 90837. The biggest common factor number is the GCF number.
So the greatest common factor 90822 and 90837 is 3.

Also check out the Least Common Multiple of 90822 and 90837