What is the Greatest Common Factor of 48689 and 48698?

Greatest common factor (GCF) of 48689 and 48698 is 1.

GCF(48689,48698) = 1

We will now calculate the prime factors of 48689 and 48698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48689 and 48698.

How to find the GCF of 48689 and 48698?

We will first find the prime factorization of 48689 and 48698. After we will calculate the factors of 48689 and 48698 and find the biggest common factor number .

Step-1: Prime Factorization of 48689

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

48689 = 181¹ × 269¹

Step-2: Prime Factorization of 48698

Prime factors of 48698 are 2, 13, 1873. Prime factorization of 48698 in exponential form is:

48698 = 2¹ × 13¹ × 1873¹

Step-3: Factors of 48689

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

1, 181, 269

Step-4: Factors of 48698

List of positive integer factors of 48698 that divides 48689 without a remainder.

1, 2, 13, 26, 1873, 3746, 24349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48689 and 48698. The biggest common factor number is the GCF number.
So the greatest common factor 48689 and 48698 is 1.

Also check out the Least Common Multiple of 48689 and 48698