What is the Greatest Common Factor of 48841 and 48854?

Greatest common factor (GCF) of 48841 and 48854 is 13.

GCF(48841,48854) = 13

We will now calculate the prime factors of 48841 and 48854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48841 and 48854.

How to find the GCF of 48841 and 48854?

We will first find the prime factorization of 48841 and 48854. After we will calculate the factors of 48841 and 48854 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 48854

Prime factors of 48854 are 2, 13, 1879. Prime factorization of 48854 in exponential form is:

48854 = 2¹ × 13¹ × 1879¹

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 48854

List of positive integer factors of 48854 that divides 48841 without a remainder.

1, 2, 13, 26, 1879, 3758, 24427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48841 and 48854. The biggest common factor number is the GCF number.
So the greatest common factor 48841 and 48854 is 13.

Also check out the Least Common Multiple of 48841 and 48854