What is the Greatest Common Factor of 91827 and 91839?

Greatest common factor (GCF) of 91827 and 91839 is 3.

GCF(91827,91839) = 3

We will now calculate the prime factors of 91827 and 91839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91827 and 91839.

How to find the GCF of 91827 and 91839?

We will first find the prime factorization of 91827 and 91839. After we will calculate the factors of 91827 and 91839 and find the biggest common factor number .

Step-1: Prime Factorization of 91827

Prime factors of 91827 are 3, 19, 179. Prime factorization of 91827 in exponential form is:

91827 = 3³ × 19¹ × 179¹

Step-2: Prime Factorization of 91839

Prime factors of 91839 are 3, 11, 23. Prime factorization of 91839 in exponential form is:

91839 = 3¹ × 11³ × 23¹

Step-3: Factors of 91827

List of positive integer factors of 91827 that divides 91827 without a remainder.

1, 3, 9, 19, 27, 57, 171, 179, 513, 537, 1611, 3401, 4833, 10203, 30609

Step-4: Factors of 91839

List of positive integer factors of 91839 that divides 91827 without a remainder.

1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 1331, 2783, 3993, 8349, 30613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91827 and 91839. The biggest common factor number is the GCF number.
So the greatest common factor 91827 and 91839 is 3.

Also check out the Least Common Multiple of 91827 and 91839