What is the Greatest Common Factor of 83073 and 83088?

Greatest common factor (GCF) of 83073 and 83088 is 3.

GCF(83073,83088) = 3

We will now calculate the prime factors of 83073 and 83088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83073 and 83088.

How to find the GCF of 83073 and 83088?

We will first find the prime factorization of 83073 and 83088. After we will calculate the factors of 83073 and 83088 and find the biggest common factor number .

Step-1: Prime Factorization of 83073

Prime factors of 83073 are 3, 27691. Prime factorization of 83073 in exponential form is:

83073 = 3¹ × 27691¹

Step-2: Prime Factorization of 83088

Prime factors of 83088 are 2, 3, 577. Prime factorization of 83088 in exponential form is:

83088 = 2⁴ × 3² × 577¹

Step-3: Factors of 83073

List of positive integer factors of 83073 that divides 83073 without a remainder.

1, 3, 27691

Step-4: Factors of 83088

List of positive integer factors of 83088 that divides 83073 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 577, 1154, 1731, 2308, 3462, 4616, 5193, 6924, 9232, 10386, 13848, 20772, 27696, 41544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83073 and 83088. The biggest common factor number is the GCF number.
So the greatest common factor 83073 and 83088 is 3.

Also check out the Least Common Multiple of 83073 and 83088