What is the Greatest Common Factor of 83824 and 83837?

Greatest common factor (GCF) of 83824 and 83837 is 13.

GCF(83824,83837) = 13

We will now calculate the prime factors of 83824 and 83837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83824 and 83837.

How to find the GCF of 83824 and 83837?

We will first find the prime factorization of 83824 and 83837. After we will calculate the factors of 83824 and 83837 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 83837

Prime factors of 83837 are 13, 6449. Prime factorization of 83837 in exponential form is:

83837 = 13¹ × 6449¹

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 83837

List of positive integer factors of 83837 that divides 83824 without a remainder.

1, 13, 6449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83824 and 83837. The biggest common factor number is the GCF number.
So the greatest common factor 83824 and 83837 is 13.

Also check out the Least Common Multiple of 83824 and 83837