What is the Greatest Common Factor of 83500 and 83504?

Greatest common factor (GCF) of 83500 and 83504 is 4.

GCF(83500,83504) = 4

We will now calculate the prime factors of 83500 and 83504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83500 and 83504.

How to find the GCF of 83500 and 83504?

We will first find the prime factorization of 83500 and 83504. After we will calculate the factors of 83500 and 83504 and find the biggest common factor number .

Step-1: Prime Factorization of 83500

Prime factors of 83500 are 2, 5, 167. Prime factorization of 83500 in exponential form is:

83500 = 2² × 5³ × 167¹

Step-2: Prime Factorization of 83504

Prime factors of 83504 are 2, 17, 307. Prime factorization of 83504 in exponential form is:

83504 = 2⁴ × 17¹ × 307¹

Step-3: Factors of 83500

List of positive integer factors of 83500 that divides 83500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 167, 250, 334, 500, 668, 835, 1670, 3340, 4175, 8350, 16700, 20875, 41750

Step-4: Factors of 83504

List of positive integer factors of 83504 that divides 83500 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 307, 614, 1228, 2456, 4912, 5219, 10438, 20876, 41752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83500 and 83504. The biggest common factor number is the GCF number.
So the greatest common factor 83500 and 83504 is 4.

Also check out the Least Common Multiple of 83500 and 83504