What is the Greatest Common Factor of 58283 and 58296?

Greatest common factor (GCF) of 58283 and 58296 is 1.

GCF(58283,58296) = 1

We will now calculate the prime factors of 58283 and 58296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58283 and 58296.

How to find the GCF of 58283 and 58296?

We will first find the prime factorization of 58283 and 58296. After we will calculate the factors of 58283 and 58296 and find the biggest common factor number .

Step-1: Prime Factorization of 58283

Prime factors of 58283 are 167, 349. Prime factorization of 58283 in exponential form is:

58283 = 167¹ × 349¹

Step-2: Prime Factorization of 58296

Prime factors of 58296 are 2, 3, 7, 347. Prime factorization of 58296 in exponential form is:

58296 = 2³ × 3¹ × 7¹ × 347¹

Step-3: Factors of 58283

List of positive integer factors of 58283 that divides 58283 without a remainder.

1, 167, 349

Step-4: Factors of 58296

List of positive integer factors of 58296 that divides 58283 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 347, 694, 1041, 1388, 2082, 2429, 2776, 4164, 4858, 7287, 8328, 9716, 14574, 19432, 29148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58283 and 58296. The biggest common factor number is the GCF number.
So the greatest common factor 58283 and 58296 is 1.

Also check out the Least Common Multiple of 58283 and 58296