What is the Greatest Common Factor of 83792 and 83800?

Greatest common factor (GCF) of 83792 and 83800 is 8.

GCF(83792,83800) = 8

We will now calculate the prime factors of 83792 and 83800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83792 and 83800.

How to find the GCF of 83792 and 83800?

We will first find the prime factorization of 83792 and 83800. After we will calculate the factors of 83792 and 83800 and find the biggest common factor number .

Step-1: Prime Factorization of 83792

Prime factors of 83792 are 2, 5237. Prime factorization of 83792 in exponential form is:

83792 = 2⁴ × 5237¹

Step-2: Prime Factorization of 83800

Prime factors of 83800 are 2, 5, 419. Prime factorization of 83800 in exponential form is:

83800 = 2³ × 5² × 419¹

Step-3: Factors of 83792

List of positive integer factors of 83792 that divides 83792 without a remainder.

1, 2, 4, 8, 16, 5237, 10474, 20948, 41896

Step-4: Factors of 83800

List of positive integer factors of 83800 that divides 83792 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 419, 838, 1676, 2095, 3352, 4190, 8380, 10475, 16760, 20950, 41900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83792 and 83800. The biggest common factor number is the GCF number.
So the greatest common factor 83792 and 83800 is 8.

Also check out the Least Common Multiple of 83792 and 83800