What is the Greatest Common Factor of 89824 and 89838?

Greatest common factor (GCF) of 89824 and 89838 is 14.

GCF(89824,89838) = 14

We will now calculate the prime factors of 89824 and 89838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89824 and 89838.

How to find the GCF of 89824 and 89838?

We will first find the prime factorization of 89824 and 89838. After we will calculate the factors of 89824 and 89838 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 89838

Prime factors of 89838 are 2, 3, 7, 23, 31. Prime factorization of 89838 in exponential form is:

89838 = 2¹ × 3² × 7¹ × 23¹ × 31¹

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 89838

List of positive integer factors of 89838 that divides 89824 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 31, 42, 46, 62, 63, 69, 93, 126, 138, 161, 186, 207, 217, 279, 322, 414, 434, 483, 558, 651, 713, 966, 1302, 1426, 1449, 1953, 2139, 2898, 3906, 4278, 4991, 6417, 9982, 12834, 14973, 29946, 44919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89824 and 89838. The biggest common factor number is the GCF number.
So the greatest common factor 89824 and 89838 is 14.

Also check out the Least Common Multiple of 89824 and 89838