What is the Greatest Common Factor of 83600 and 83609?

Greatest common factor (GCF) of 83600 and 83609 is 1.

GCF(83600,83609) = 1

We will now calculate the prime factors of 83600 and 83609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83600 and 83609.

How to find the GCF of 83600 and 83609?

We will first find the prime factorization of 83600 and 83609. After we will calculate the factors of 83600 and 83609 and find the biggest common factor number .

Step-1: Prime Factorization of 83600

Prime factors of 83600 are 2, 5, 11, 19. Prime factorization of 83600 in exponential form is:

83600 = 2⁴ × 5² × 11¹ × 19¹

Step-2: Prime Factorization of 83609

Prime factors of 83609 are 83609. Prime factorization of 83609 in exponential form is:

83609 = 83609¹

Step-3: Factors of 83600

List of positive integer factors of 83600 that divides 83600 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 19, 20, 22, 25, 38, 40, 44, 50, 55, 76, 80, 88, 95, 100, 110, 152, 176, 190, 200, 209, 220, 275, 304, 380, 400, 418, 440, 475, 550, 760, 836, 880, 950, 1045, 1100, 1520, 1672, 1900, 2090, 2200, 3344, 3800, 4180, 4400, 5225, 7600, 8360, 10450, 16720, 20900, 41800

Step-4: Factors of 83609

List of positive integer factors of 83609 that divides 83600 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83600 and 83609. The biggest common factor number is the GCF number.
So the greatest common factor 83600 and 83609 is 1.

Also check out the Least Common Multiple of 83600 and 83609