What is the Greatest Common Factor of 58239 and 58254?

Greatest common factor (GCF) of 58239 and 58254 is 3.

GCF(58239,58254) = 3

We will now calculate the prime factors of 58239 and 58254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58239 and 58254.

How to find the GCF of 58239 and 58254?

We will first find the prime factorization of 58239 and 58254. After we will calculate the factors of 58239 and 58254 and find the biggest common factor number .

Step-1: Prime Factorization of 58239

Prime factors of 58239 are 3, 719. Prime factorization of 58239 in exponential form is:

58239 = 3⁴ × 719¹

Step-2: Prime Factorization of 58254

Prime factors of 58254 are 2, 3, 7, 19, 73. Prime factorization of 58254 in exponential form is:

58254 = 2¹ × 3¹ × 7¹ × 19¹ × 73¹

Step-3: Factors of 58239

List of positive integer factors of 58239 that divides 58239 without a remainder.

1, 3, 9, 27, 81, 719, 2157, 6471, 19413

Step-4: Factors of 58254

List of positive integer factors of 58254 that divides 58239 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 73, 114, 133, 146, 219, 266, 399, 438, 511, 798, 1022, 1387, 1533, 2774, 3066, 4161, 8322, 9709, 19418, 29127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58239 and 58254. The biggest common factor number is the GCF number.
So the greatest common factor 58239 and 58254 is 3.

Also check out the Least Common Multiple of 58239 and 58254