What is the Greatest Common Factor of 48287 and 48306?

Greatest common factor (GCF) of 48287 and 48306 is 1.

GCF(48287,48306) = 1

We will now calculate the prime factors of 48287 and 48306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48287 and 48306.

How to find the GCF of 48287 and 48306?

We will first find the prime factorization of 48287 and 48306. After we will calculate the factors of 48287 and 48306 and find the biggest common factor number .

Step-1: Prime Factorization of 48287

Prime factors of 48287 are 109, 443. Prime factorization of 48287 in exponential form is:

48287 = 109¹ × 443¹

Step-2: Prime Factorization of 48306

Prime factors of 48306 are 2, 3, 83, 97. Prime factorization of 48306 in exponential form is:

48306 = 2¹ × 3¹ × 83¹ × 97¹

Step-3: Factors of 48287

List of positive integer factors of 48287 that divides 48287 without a remainder.

1, 109, 443

Step-4: Factors of 48306

List of positive integer factors of 48306 that divides 48287 without a remainder.

1, 2, 3, 6, 83, 97, 166, 194, 249, 291, 498, 582, 8051, 16102, 24153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48287 and 48306. The biggest common factor number is the GCF number.
So the greatest common factor 48287 and 48306 is 1.

Also check out the Least Common Multiple of 48287 and 48306