What is the Greatest Common Factor of 48832 and 48841?

Greatest common factor (GCF) of 48832 and 48841 is 1.

GCF(48832,48841) = 1

We will now calculate the prime factors of 48832 and 48841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48832 and 48841.

How to find the GCF of 48832 and 48841?

We will first find the prime factorization of 48832 and 48841. After we will calculate the factors of 48832 and 48841 and find the biggest common factor number .

Step-1: Prime Factorization of 48832

Prime factors of 48832 are 2, 7, 109. Prime factorization of 48832 in exponential form is:

48832 = 2⁶ × 7¹ × 109¹

Step-2: Prime Factorization of 48841

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

48841 = 13² × 17²

Step-3: Factors of 48832

List of positive integer factors of 48832 that divides 48832 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 109, 112, 218, 224, 436, 448, 763, 872, 1526, 1744, 3052, 3488, 6104, 6976, 12208, 24416

Step-4: Factors of 48841

List of positive integer factors of 48841 that divides 48832 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48832 and 48841. The biggest common factor number is the GCF number.
So the greatest common factor 48832 and 48841 is 1.

Also check out the Least Common Multiple of 48832 and 48841