What is the Greatest Common Factor of 48082 and 48101?

Greatest common factor (GCF) of 48082 and 48101 is 1.

GCF(48082,48101) = 1

We will now calculate the prime factors of 48082 and 48101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48082 and 48101.

How to find the GCF of 48082 and 48101?

We will first find the prime factorization of 48082 and 48101. After we will calculate the factors of 48082 and 48101 and find the biggest common factor number .

Step-1: Prime Factorization of 48082

Prime factors of 48082 are 2, 29, 829. Prime factorization of 48082 in exponential form is:

48082 = 2¹ × 29¹ × 829¹

Step-2: Prime Factorization of 48101

Prime factors of 48101 are 103, 467. Prime factorization of 48101 in exponential form is:

48101 = 103¹ × 467¹

Step-3: Factors of 48082

List of positive integer factors of 48082 that divides 48082 without a remainder.

1, 2, 29, 58, 829, 1658, 24041

Step-4: Factors of 48101

List of positive integer factors of 48101 that divides 48082 without a remainder.

1, 103, 467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48082 and 48101. The biggest common factor number is the GCF number.
So the greatest common factor 48082 and 48101 is 1.

Also check out the Least Common Multiple of 48082 and 48101