What is the Greatest Common Factor of 83824 and 83831?

Greatest common factor (GCF) of 83824 and 83831 is 1.

GCF(83824,83831) = 1

We will now calculate the prime factors of 83824 and 83831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83824 and 83831.

How to find the GCF of 83824 and 83831?

We will first find the prime factorization of 83824 and 83831. After we will calculate the factors of 83824 and 83831 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 83831

Prime factors of 83831 are 11, 7621. Prime factorization of 83831 in exponential form is:

83831 = 11¹ × 7621¹

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 83831

List of positive integer factors of 83831 that divides 83824 without a remainder.

1, 11, 7621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83824 and 83831. The biggest common factor number is the GCF number.
So the greatest common factor 83824 and 83831 is 1.

Also check out the Least Common Multiple of 83824 and 83831