What is the Greatest Common Factor of 48684 and 48689?

Greatest common factor (GCF) of 48684 and 48689 is 1.

GCF(48684,48689) = 1

We will now calculate the prime factors of 48684 and 48689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48684 and 48689.

How to find the GCF of 48684 and 48689?

We will first find the prime factorization of 48684 and 48689. After we will calculate the factors of 48684 and 48689 and find the biggest common factor number .

Step-1: Prime Factorization of 48684

Prime factors of 48684 are 2, 3, 4057. Prime factorization of 48684 in exponential form is:

48684 = 2² × 3¹ × 4057¹

Step-2: Prime Factorization of 48689

Prime factors of 48689 are 181, 269. Prime factorization of 48689 in exponential form is:

48689 = 181¹ × 269¹

Step-3: Factors of 48684

List of positive integer factors of 48684 that divides 48684 without a remainder.

1, 2, 3, 4, 6, 12, 4057, 8114, 12171, 16228, 24342

Step-4: Factors of 48689

List of positive integer factors of 48689 that divides 48684 without a remainder.

1, 181, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48684 and 48689. The biggest common factor number is the GCF number.
So the greatest common factor 48684 and 48689 is 1.

Also check out the Least Common Multiple of 48684 and 48689