What is the Greatest Common Factor of 73600 and 73609?

Greatest common factor (GCF) of 73600 and 73609 is 1.

GCF(73600,73609) = 1

We will now calculate the prime factors of 73600 and 73609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73600 and 73609.

How to find the GCF of 73600 and 73609?

We will first find the prime factorization of 73600 and 73609. After we will calculate the factors of 73600 and 73609 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73609

Prime factors of 73609 are 73609. Prime factorization of 73609 in exponential form is:

73609 = 73609¹

Step-3: Factors of 73600

List of positive integer factors of 73600 that divides 73600 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

Step-4: Factors of 73609

List of positive integer factors of 73609 that divides 73600 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73600 and 73609. The biggest common factor number is the GCF number.
So the greatest common factor 73600 and 73609 is 1.

Also check out the Least Common Multiple of 73600 and 73609