What is the Greatest Common Factor of 58833 and 58848?

Greatest common factor (GCF) of 58833 and 58848 is 3.

GCF(58833,58848) = 3

We will now calculate the prime factors of 58833 and 58848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58833 and 58848.

How to find the GCF of 58833 and 58848?

We will first find the prime factorization of 58833 and 58848. After we will calculate the factors of 58833 and 58848 and find the biggest common factor number .

Step-1: Prime Factorization of 58833

Prime factors of 58833 are 3, 2179. Prime factorization of 58833 in exponential form is:

58833 = 3³ × 2179¹

Step-2: Prime Factorization of 58848

Prime factors of 58848 are 2, 3, 613. Prime factorization of 58848 in exponential form is:

58848 = 2⁵ × 3¹ × 613¹

Step-3: Factors of 58833

List of positive integer factors of 58833 that divides 58833 without a remainder.

1, 3, 9, 27, 2179, 6537, 19611

Step-4: Factors of 58848

List of positive integer factors of 58848 that divides 58833 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 613, 1226, 1839, 2452, 3678, 4904, 7356, 9808, 14712, 19616, 29424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58833 and 58848. The biggest common factor number is the GCF number.
So the greatest common factor 58833 and 58848 is 3.

Also check out the Least Common Multiple of 58833 and 58848