What is the Greatest Common Factor of 58149 and 58153?

Greatest common factor (GCF) of 58149 and 58153 is 1.

GCF(58149,58153) = 1

We will now calculate the prime factors of 58149 and 58153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58149 and 58153.

How to find the GCF of 58149 and 58153?

We will first find the prime factorization of 58149 and 58153. After we will calculate the factors of 58149 and 58153 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 58153

Prime factors of 58153 are 58153. Prime factorization of 58153 in exponential form is:

58153 = 58153¹

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 58153

List of positive integer factors of 58153 that divides 58149 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58149 and 58153. The biggest common factor number is the GCF number.
So the greatest common factor 58149 and 58153 is 1.

Also check out the Least Common Multiple of 58149 and 58153