What is the Greatest Common Factor of 83806 and 83824?

Greatest common factor (GCF) of 83806 and 83824 is 2.

GCF(83806,83824) = 2

We will now calculate the prime factors of 83806 and 83824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83806 and 83824.

How to find the GCF of 83806 and 83824?

We will first find the prime factorization of 83806 and 83824. After we will calculate the factors of 83806 and 83824 and find the biggest common factor number .

Step-1: Prime Factorization of 83806

Prime factors of 83806 are 2, 41903. Prime factorization of 83806 in exponential form is:

83806 = 2¹ × 41903¹

Step-2: 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-3: Factors of 83806

List of positive integer factors of 83806 that divides 83806 without a remainder.

1, 2, 41903

Step-4: Factors of 83824

List of positive integer factors of 83824 that divides 83806 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83806 and 83824. The biggest common factor number is the GCF number.
So the greatest common factor 83806 and 83824 is 2.

Also check out the Least Common Multiple of 83806 and 83824