What is the Greatest Common Factor of 89838 and 89855?

Greatest common factor (GCF) of 89838 and 89855 is 1.

GCF(89838,89855) = 1

We will now calculate the prime factors of 89838 and 89855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89838 and 89855.

How to find the GCF of 89838 and 89855?

We will first find the prime factorization of 89838 and 89855. After we will calculate the factors of 89838 and 89855 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89855

Prime factors of 89855 are 5, 17971. Prime factorization of 89855 in exponential form is:

89855 = 5¹ × 17971¹

Step-3: Factors of 89838

List of positive integer factors of 89838 that divides 89838 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

Step-4: Factors of 89855

List of positive integer factors of 89855 that divides 89838 without a remainder.

1, 5, 17971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89838 and 89855. The biggest common factor number is the GCF number.
So the greatest common factor 89838 and 89855 is 1.

Also check out the Least Common Multiple of 89838 and 89855