What is the Greatest Common Factor of 58123 and 58132?

Greatest common factor (GCF) of 58123 and 58132 is 1.

GCF(58123,58132) = 1

We will now calculate the prime factors of 58123 and 58132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58123 and 58132.

How to find the GCF of 58123 and 58132?

We will first find the prime factorization of 58123 and 58132. After we will calculate the factors of 58123 and 58132 and find the biggest common factor number .

Step-1: Prime Factorization of 58123

Prime factors of 58123 are 13, 17, 263. Prime factorization of 58123 in exponential form is:

58123 = 13¹ × 17¹ × 263¹

Step-2: Prime Factorization of 58132

Prime factors of 58132 are 2, 14533. Prime factorization of 58132 in exponential form is:

58132 = 2² × 14533¹

Step-3: Factors of 58123

List of positive integer factors of 58123 that divides 58123 without a remainder.

1, 13, 17, 221, 263, 3419, 4471

Step-4: Factors of 58132

List of positive integer factors of 58132 that divides 58123 without a remainder.

1, 2, 4, 14533, 29066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58123 and 58132. The biggest common factor number is the GCF number.
So the greatest common factor 58123 and 58132 is 1.

Also check out the Least Common Multiple of 58123 and 58132