What is the Greatest Common Factor of 83824 and 83828?

Greatest common factor (GCF) of 83824 and 83828 is 4.

GCF(83824,83828) = 4

We will now calculate the prime factors of 83824 and 83828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83824 and 83828.

How to find the GCF of 83824 and 83828?

We will first find the prime factorization of 83824 and 83828. After we will calculate the factors of 83824 and 83828 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 83828

Prime factors of 83828 are 2, 19, 1103. Prime factorization of 83828 in exponential form is:

83828 = 2² × 19¹ × 1103¹

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 83828

List of positive integer factors of 83828 that divides 83824 without a remainder.

1, 2, 4, 19, 38, 76, 1103, 2206, 4412, 20957, 41914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83824 and 83828. The biggest common factor number is the GCF number.
So the greatest common factor 83824 and 83828 is 4.

Also check out the Least Common Multiple of 83824 and 83828