What is the Greatest Common Factor of 83582 and 83600?

Greatest common factor (GCF) of 83582 and 83600 is 2.

GCF(83582,83600) = 2

We will now calculate the prime factors of 83582 and 83600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83582 and 83600.

How to find the GCF of 83582 and 83600?

We will first find the prime factorization of 83582 and 83600. After we will calculate the factors of 83582 and 83600 and find the biggest common factor number .

Step-1: Prime Factorization of 83582

Prime factors of 83582 are 2, 23, 79. Prime factorization of 83582 in exponential form is:

83582 = 2¹ × 23² × 79¹

Step-2: 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-3: Factors of 83582

List of positive integer factors of 83582 that divides 83582 without a remainder.

1, 2, 23, 46, 79, 158, 529, 1058, 1817, 3634, 41791

Step-4: Factors of 83600

List of positive integer factors of 83600 that divides 83582 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83582 and 83600. The biggest common factor number is the GCF number.
So the greatest common factor 83582 and 83600 is 2.

Also check out the Least Common Multiple of 83582 and 83600