What is the Greatest Common Factor of 58149 and 58157?

Greatest common factor (GCF) of 58149 and 58157 is 1.

GCF(58149,58157) = 1

We will now calculate the prime factors of 58149 and 58157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58149 and 58157.

How to find the GCF of 58149 and 58157?

We will first find the prime factorization of 58149 and 58157. After we will calculate the factors of 58149 and 58157 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 58157

Prime factors of 58157 are 11, 17, 311. Prime factorization of 58157 in exponential form is:

58157 = 11¹ × 17¹ × 311¹

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 58157

List of positive integer factors of 58157 that divides 58149 without a remainder.

1, 11, 17, 187, 311, 3421, 5287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58149 and 58157. The biggest common factor number is the GCF number.
So the greatest common factor 58149 and 58157 is 1.

Also check out the Least Common Multiple of 58149 and 58157