What is the Greatest Common Factor of 83824 and 83841?

Greatest common factor (GCF) of 83824 and 83841 is 1.

GCF(83824,83841) = 1

We will now calculate the prime factors of 83824 and 83841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83824 and 83841.

How to find the GCF of 83824 and 83841?

We will first find the prime factorization of 83824 and 83841. After we will calculate the factors of 83824 and 83841 and find the biggest common factor number .

Step-1: Prime Factorization of 83824

Prime factors of 83824 are 2, 13, 31. Prime factorization of 83824 in exponential form is:

83824 = 2⁴ × 13² × 31¹

Step-2: Prime Factorization of 83841

Prime factors of 83841 are 3, 27947. Prime factorization of 83841 in exponential form is:

83841 = 3¹ × 27947¹

Step-3: Factors of 83824

List of positive integer factors of 83824 that divides 83824 without a remainder.

1, 2, 4, 8, 13, 16, 26, 31, 52, 62, 104, 124, 169, 208, 248, 338, 403, 496, 676, 806, 1352, 1612, 2704, 3224, 5239, 6448, 10478, 20956, 41912

Step-4: Factors of 83841

List of positive integer factors of 83841 that divides 83824 without a remainder.

1, 3, 27947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83824 and 83841. The biggest common factor number is the GCF number.
So the greatest common factor 83824 and 83841 is 1.

Also check out the Least Common Multiple of 83824 and 83841