What is the Greatest Common Factor of 90812 and 90822?

Greatest common factor (GCF) of 90812 and 90822 is 2.

GCF(90812,90822) = 2

We will now calculate the prime factors of 90812 and 90822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90812 and 90822.

How to find the GCF of 90812 and 90822?

We will first find the prime factorization of 90812 and 90822. After we will calculate the factors of 90812 and 90822 and find the biggest common factor number .

Step-1: Prime Factorization of 90812

Prime factors of 90812 are 2, 73, 311. Prime factorization of 90812 in exponential form is:

90812 = 2² × 73¹ × 311¹

Step-2: 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-3: Factors of 90812

List of positive integer factors of 90812 that divides 90812 without a remainder.

1, 2, 4, 73, 146, 292, 311, 622, 1244, 22703, 45406

Step-4: Factors of 90822

List of positive integer factors of 90822 that divides 90812 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90812 and 90822. The biggest common factor number is the GCF number.
So the greatest common factor 90812 and 90822 is 2.

Also check out the Least Common Multiple of 90812 and 90822