What is the Greatest Common Factor of 58141 and 58149?

Greatest common factor (GCF) of 58141 and 58149 is 1.

GCF(58141,58149) = 1

We will now calculate the prime factors of 58141 and 58149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58141 and 58149.

How to find the GCF of 58141 and 58149?

We will first find the prime factorization of 58141 and 58149. After we will calculate the factors of 58141 and 58149 and find the biggest common factor number .

Step-1: Prime Factorization of 58141

Prime factors of 58141 are 53, 1097. Prime factorization of 58141 in exponential form is:

58141 = 53¹ × 1097¹

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 58141

List of positive integer factors of 58141 that divides 58141 without a remainder.

1, 53, 1097

Step-4: Factors of 58149

List of positive integer factors of 58149 that divides 58141 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 58141 and 58149. The biggest common factor number is the GCF number.
So the greatest common factor 58141 and 58149 is 1.

Also check out the Least Common Multiple of 58141 and 58149