What is the Greatest Common Factor of 89808 and 89822?

Greatest common factor (GCF) of 89808 and 89822 is 2.

GCF(89808,89822) = 2

We will now calculate the prime factors of 89808 and 89822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89808 and 89822.

How to find the GCF of 89808 and 89822?

We will first find the prime factorization of 89808 and 89822. After we will calculate the factors of 89808 and 89822 and find the biggest common factor number .

Step-1: Prime Factorization of 89808

Prime factors of 89808 are 2, 3, 1871. Prime factorization of 89808 in exponential form is:

89808 = 2⁴ × 3¹ × 1871¹

Step-2: Prime Factorization of 89822

Prime factors of 89822 are 2, 97, 463. Prime factorization of 89822 in exponential form is:

89822 = 2¹ × 97¹ × 463¹

Step-3: Factors of 89808

List of positive integer factors of 89808 that divides 89808 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1871, 3742, 5613, 7484, 11226, 14968, 22452, 29936, 44904

Step-4: Factors of 89822

List of positive integer factors of 89822 that divides 89808 without a remainder.

1, 2, 97, 194, 463, 926, 44911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89808 and 89822. The biggest common factor number is the GCF number.
So the greatest common factor 89808 and 89822 is 2.

Also check out the Least Common Multiple of 89808 and 89822