What is the Greatest Common Factor of 48841 and 48849?

Greatest common factor (GCF) of 48841 and 48849 is 1.

GCF(48841,48849) = 1

We will now calculate the prime factors of 48841 and 48849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48841 and 48849.

How to find the GCF of 48841 and 48849?

We will first find the prime factorization of 48841 and 48849. After we will calculate the factors of 48841 and 48849 and find the biggest common factor number .

Step-1: Prime Factorization of 48841

Prime factors of 48841 are 13, 17. Prime factorization of 48841 in exponential form is:

48841 = 13² × 17²

Step-2: Prime Factorization of 48849

Prime factors of 48849 are 3, 19, 857. Prime factorization of 48849 in exponential form is:

48849 = 3¹ × 19¹ × 857¹

Step-3: Factors of 48841

List of positive integer factors of 48841 that divides 48841 without a remainder.

1, 13, 17, 169, 221, 289, 2873, 3757

Step-4: Factors of 48849

List of positive integer factors of 48849 that divides 48841 without a remainder.

1, 3, 19, 57, 857, 2571, 16283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48841 and 48849. The biggest common factor number is the GCF number.
So the greatest common factor 48841 and 48849 is 1.

Also check out the Least Common Multiple of 48841 and 48849