What is the Greatest Common Factor of 89810 and 89824?

Greatest common factor (GCF) of 89810 and 89824 is 14.

GCF(89810,89824) = 14

We will now calculate the prime factors of 89810 and 89824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89810 and 89824.

How to find the GCF of 89810 and 89824?

We will first find the prime factorization of 89810 and 89824. After we will calculate the factors of 89810 and 89824 and find the biggest common factor number .

Step-1: Prime Factorization of 89810

Prime factors of 89810 are 2, 5, 7, 1283. Prime factorization of 89810 in exponential form is:

89810 = 2¹ × 5¹ × 7¹ × 1283¹

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 89810

List of positive integer factors of 89810 that divides 89810 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1283, 2566, 6415, 8981, 12830, 17962, 44905

Step-4: Factors of 89824

List of positive integer factors of 89824 that divides 89810 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 89810 and 89824. The biggest common factor number is the GCF number.
So the greatest common factor 89810 and 89824 is 14.

Also check out the Least Common Multiple of 89810 and 89824