What is the Greatest Common Factor of 48689 and 48706?

Greatest common factor (GCF) of 48689 and 48706 is 1.

GCF(48689,48706) = 1

We will now calculate the prime factors of 48689 and 48706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48689 and 48706.

How to find the GCF of 48689 and 48706?

We will first find the prime factorization of 48689 and 48706. After we will calculate the factors of 48689 and 48706 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 48706

Prime factors of 48706 are 2, 7, 71. Prime factorization of 48706 in exponential form is:

48706 = 2¹ × 7³ × 71¹

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 48706

List of positive integer factors of 48706 that divides 48689 without a remainder.

1, 2, 7, 14, 49, 71, 98, 142, 343, 497, 686, 994, 3479, 6958, 24353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48689 and 48706. The biggest common factor number is the GCF number.
So the greatest common factor 48689 and 48706 is 1.

Also check out the Least Common Multiple of 48689 and 48706