What is the Greatest Common Factor of 83824 and 83832?

Greatest common factor (GCF) of 83824 and 83832 is 8.

GCF(83824,83832) = 8

We will now calculate the prime factors of 83824 and 83832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83824 and 83832.

How to find the GCF of 83824 and 83832?

We will first find the prime factorization of 83824 and 83832. After we will calculate the factors of 83824 and 83832 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 83832

Prime factors of 83832 are 2, 3, 7, 499. Prime factorization of 83832 in exponential form is:

83832 = 2³ × 3¹ × 7¹ × 499¹

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 83832

List of positive integer factors of 83832 that divides 83824 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 499, 998, 1497, 1996, 2994, 3493, 3992, 5988, 6986, 10479, 11976, 13972, 20958, 27944, 41916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83824 and 83832. The biggest common factor number is the GCF number.
So the greatest common factor 83824 and 83832 is 8.

Also check out the Least Common Multiple of 83824 and 83832