What is the Greatest Common Factor of 89808 and 89824?

Greatest common factor (GCF) of 89808 and 89824 is 16.

GCF(89808,89824) = 16

We will now calculate the prime factors of 89808 and 89824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89808 and 89824.

How to find the GCF of 89808 and 89824?

We will first find the prime factorization of 89808 and 89824. After we will calculate the factors of 89808 and 89824 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 89824

Prime factors of 89824 are 2, 7, 401. Prime factorization of 89824 in exponential form is:

89824 = 2⁵ × 7¹ × 401¹

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 89824

List of positive integer factors of 89824 that divides 89808 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 401, 802, 1604, 2807, 3208, 5614, 6416, 11228, 12832, 22456, 44912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89808 and 89824. The biggest common factor number is the GCF number.
So the greatest common factor 89808 and 89824 is 16.

Also check out the Least Common Multiple of 89808 and 89824