What is the Greatest Common Factor of 58137 and 58149?

Greatest common factor (GCF) of 58137 and 58149 is 3.

GCF(58137,58149) = 3

We will now calculate the prime factors of 58137 and 58149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58137 and 58149.

How to find the GCF of 58137 and 58149?

We will first find the prime factorization of 58137 and 58149. After we will calculate the factors of 58137 and 58149 and find the biggest common factor number .

Step-1: Prime Factorization of 58137

Prime factors of 58137 are 3, 19379. Prime factorization of 58137 in exponential form is:

58137 = 3¹ × 19379¹

Step-2: Prime Factorization of 58149

Prime factors of 58149 are 3, 7, 13, 71. Prime factorization of 58149 in exponential form is:

58149 = 3² × 7¹ × 13¹ × 71¹

Step-3: Factors of 58137

List of positive integer factors of 58137 that divides 58137 without a remainder.

1, 3, 19379

Step-4: Factors of 58149

List of positive integer factors of 58149 that divides 58137 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 71, 91, 117, 213, 273, 497, 639, 819, 923, 1491, 2769, 4473, 6461, 8307, 19383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58137 and 58149. The biggest common factor number is the GCF number.
So the greatest common factor 58137 and 58149 is 3.

Also check out the Least Common Multiple of 58137 and 58149