What is the Greatest Common Factor of 83078 and 83088?

Greatest common factor (GCF) of 83078 and 83088 is 2.

GCF(83078,83088) = 2

We will now calculate the prime factors of 83078 and 83088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83078 and 83088.

How to find the GCF of 83078 and 83088?

We will first find the prime factorization of 83078 and 83088. After we will calculate the factors of 83078 and 83088 and find the biggest common factor number .

Step-1: Prime Factorization of 83078

Prime factors of 83078 are 2, 41539. Prime factorization of 83078 in exponential form is:

83078 = 2¹ × 41539¹

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 83078

List of positive integer factors of 83078 that divides 83078 without a remainder.

1, 2, 41539

Step-4: Factors of 83088

List of positive integer factors of 83088 that divides 83078 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 83078 and 83088. The biggest common factor number is the GCF number.
So the greatest common factor 83078 and 83088 is 2.

Also check out the Least Common Multiple of 83078 and 83088