What is the Greatest Common Factor of 48289 and 48301?

Greatest common factor (GCF) of 48289 and 48301 is 1.

GCF(48289,48301) = 1

We will now calculate the prime factors of 48289 and 48301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48289 and 48301.

How to find the GCF of 48289 and 48301?

We will first find the prime factorization of 48289 and 48301. After we will calculate the factors of 48289 and 48301 and find the biggest common factor number .

Step-1: Prime Factorization of 48289

Prime factors of 48289 are 43, 1123. Prime factorization of 48289 in exponential form is:

48289 = 43¹ × 1123¹

Step-2: Prime Factorization of 48301

Prime factors of 48301 are 11, 4391. Prime factorization of 48301 in exponential form is:

48301 = 11¹ × 4391¹

Step-3: Factors of 48289

List of positive integer factors of 48289 that divides 48289 without a remainder.

1, 43, 1123

Step-4: Factors of 48301

List of positive integer factors of 48301 that divides 48289 without a remainder.

1, 11, 4391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48289 and 48301. The biggest common factor number is the GCF number.
So the greatest common factor 48289 and 48301 is 1.

Also check out the Least Common Multiple of 48289 and 48301