What is the Greatest Common Factor of 58149 and 58161?

Greatest common factor (GCF) of 58149 and 58161 is 3.

GCF(58149,58161) = 3

We will now calculate the prime factors of 58149 and 58161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58149 and 58161.

How to find the GCF of 58149 and 58161?

We will first find the prime factorization of 58149 and 58161. After we will calculate the factors of 58149 and 58161 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58161

Prime factors of 58161 are 3, 19387. Prime factorization of 58161 in exponential form is:

58161 = 3¹ × 19387¹

Step-3: Factors of 58149

List of positive integer factors of 58149 that divides 58149 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

Step-4: Factors of 58161

List of positive integer factors of 58161 that divides 58149 without a remainder.

1, 3, 19387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58149 and 58161. The biggest common factor number is the GCF number.
So the greatest common factor 58149 and 58161 is 3.

Also check out the Least Common Multiple of 58149 and 58161