What is the Greatest Common Factor of 89828 and 89838?

Greatest common factor (GCF) of 89828 and 89838 is 2.

GCF(89828,89838) = 2

We will now calculate the prime factors of 89828 and 89838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89828 and 89838.

How to find the GCF of 89828 and 89838?

We will first find the prime factorization of 89828 and 89838. After we will calculate the factors of 89828 and 89838 and find the biggest common factor number .

Step-1: Prime Factorization of 89828

Prime factors of 89828 are 2, 17, 1321. Prime factorization of 89828 in exponential form is:

89828 = 2² × 17¹ × 1321¹

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 89828

List of positive integer factors of 89828 that divides 89828 without a remainder.

1, 2, 4, 17, 34, 68, 1321, 2642, 5284, 22457, 44914

Step-4: Factors of 89838

List of positive integer factors of 89838 that divides 89828 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 89828 and 89838. The biggest common factor number is the GCF number.
So the greatest common factor 89828 and 89838 is 2.

Also check out the Least Common Multiple of 89828 and 89838