What is the Greatest Common Factor of 89814 and 89824?

Greatest common factor (GCF) of 89814 and 89824 is 2.

GCF(89814,89824) = 2

We will now calculate the prime factors of 89814 and 89824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89814 and 89824.

How to find the GCF of 89814 and 89824?

We will first find the prime factorization of 89814 and 89824. After we will calculate the factors of 89814 and 89824 and find the biggest common factor number .

Step-1: Prime Factorization of 89814

Prime factors of 89814 are 2, 3, 14969. Prime factorization of 89814 in exponential form is:

89814 = 2¹ × 3¹ × 14969¹

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 89814

List of positive integer factors of 89814 that divides 89814 without a remainder.

1, 2, 3, 6, 14969, 29938, 44907

Step-4: Factors of 89824

List of positive integer factors of 89824 that divides 89814 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 89814 and 89824. The biggest common factor number is the GCF number.
So the greatest common factor 89814 and 89824 is 2.

Also check out the Least Common Multiple of 89814 and 89824