What is the Greatest Common Factor of 83928 and 83932?

Greatest common factor (GCF) of 83928 and 83932 is 4.

GCF(83928,83932) = 4

We will now calculate the prime factors of 83928 and 83932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83928 and 83932.

How to find the GCF of 83928 and 83932?

We will first find the prime factorization of 83928 and 83932. After we will calculate the factors of 83928 and 83932 and find the biggest common factor number .

Step-1: Prime Factorization of 83928

Prime factors of 83928 are 2, 3, 13, 269. Prime factorization of 83928 in exponential form is:

83928 = 2³ × 3¹ × 13¹ × 269¹

Step-2: Prime Factorization of 83932

Prime factors of 83932 are 2, 20983. Prime factorization of 83932 in exponential form is:

83932 = 2² × 20983¹

Step-3: Factors of 83928

List of positive integer factors of 83928 that divides 83928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 269, 312, 538, 807, 1076, 1614, 2152, 3228, 3497, 6456, 6994, 10491, 13988, 20982, 27976, 41964

Step-4: Factors of 83932

List of positive integer factors of 83932 that divides 83928 without a remainder.

1, 2, 4, 20983, 41966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83928 and 83932. The biggest common factor number is the GCF number.
So the greatest common factor 83928 and 83932 is 4.

Also check out the Least Common Multiple of 83928 and 83932