What is the Greatest Common Factor of 73585 and 73600?

Greatest common factor (GCF) of 73585 and 73600 is 5.

GCF(73585,73600) = 5

We will now calculate the prime factors of 73585 and 73600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73585 and 73600.

How to find the GCF of 73585 and 73600?

We will first find the prime factorization of 73585 and 73600. After we will calculate the factors of 73585 and 73600 and find the biggest common factor number .

Step-1: Prime Factorization of 73585

Prime factors of 73585 are 5, 14717. Prime factorization of 73585 in exponential form is:

73585 = 5¹ × 14717¹

Step-2: Prime Factorization of 73600

Prime factors of 73600 are 2, 5, 23. Prime factorization of 73600 in exponential form is:

73600 = 2⁷ × 5² × 23¹

Step-3: Factors of 73585

List of positive integer factors of 73585 that divides 73585 without a remainder.

1, 5, 14717

Step-4: Factors of 73600

List of positive integer factors of 73600 that divides 73585 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 32, 40, 46, 50, 64, 80, 92, 100, 115, 128, 160, 184, 200, 230, 320, 368, 400, 460, 575, 640, 736, 800, 920, 1150, 1472, 1600, 1840, 2300, 2944, 3200, 3680, 4600, 7360, 9200, 14720, 18400, 36800

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73585 and 73600. The biggest common factor number is the GCF number.
So the greatest common factor 73585 and 73600 is 5.

Also check out the Least Common Multiple of 73585 and 73600