What is the Greatest Common Factor of 58296 and 58301?

Greatest common factor (GCF) of 58296 and 58301 is 1.

GCF(58296,58301) = 1

We will now calculate the prime factors of 58296 and 58301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58296 and 58301.

How to find the GCF of 58296 and 58301?

We will first find the prime factorization of 58296 and 58301. After we will calculate the factors of 58296 and 58301 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58301

Prime factors of 58301 are 173, 337. Prime factorization of 58301 in exponential form is:

58301 = 173¹ × 337¹

Step-3: Factors of 58296

List of positive integer factors of 58296 that divides 58296 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

Step-4: Factors of 58301

List of positive integer factors of 58301 that divides 58296 without a remainder.

1, 173, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58296 and 58301. The biggest common factor number is the GCF number.
So the greatest common factor 58296 and 58301 is 1.

Also check out the Least Common Multiple of 58296 and 58301