What is the Greatest Common Factor of 89824 and 89842?

Greatest common factor (GCF) of 89824 and 89842 is 2.

GCF(89824,89842) = 2

We will now calculate the prime factors of 89824 and 89842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89824 and 89842.

How to find the GCF of 89824 and 89842?

We will first find the prime factorization of 89824 and 89842. After we will calculate the factors of 89824 and 89842 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89842

Prime factors of 89842 are 2, 29, 1549. Prime factorization of 89842 in exponential form is:

89842 = 2¹ × 29¹ × 1549¹

Step-3: Factors of 89824

List of positive integer factors of 89824 that divides 89824 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

Step-4: Factors of 89842

List of positive integer factors of 89842 that divides 89824 without a remainder.

1, 2, 29, 58, 1549, 3098, 44921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89824 and 89842. The biggest common factor number is the GCF number.
So the greatest common factor 89824 and 89842 is 2.

Also check out the Least Common Multiple of 89824 and 89842