What is the Greatest Common Factor of 48686 and 48697?

Greatest common factor (GCF) of 48686 and 48697 is 11.

GCF(48686,48697) = 11

We will now calculate the prime factors of 48686 and 48697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48686 and 48697.

How to find the GCF of 48686 and 48697?

We will first find the prime factorization of 48686 and 48697. After we will calculate the factors of 48686 and 48697 and find the biggest common factor number .

Step-1: Prime Factorization of 48686

Prime factors of 48686 are 2, 11, 2213. Prime factorization of 48686 in exponential form is:

48686 = 2¹ × 11¹ × 2213¹

Step-2: Prime Factorization of 48697

Prime factors of 48697 are 11, 19, 233. Prime factorization of 48697 in exponential form is:

48697 = 11¹ × 19¹ × 233¹

Step-3: Factors of 48686

List of positive integer factors of 48686 that divides 48686 without a remainder.

1, 2, 11, 22, 2213, 4426, 24343

Step-4: Factors of 48697

List of positive integer factors of 48697 that divides 48686 without a remainder.

1, 11, 19, 209, 233, 2563, 4427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48686 and 48697. The biggest common factor number is the GCF number.
So the greatest common factor 48686 and 48697 is 11.

Also check out the Least Common Multiple of 48686 and 48697