What is the Greatest Common Factor of 88000 and 88009?

Greatest common factor (GCF) of 88000 and 88009 is 1.

GCF(88000,88009) = 1

We will now calculate the prime factors of 88000 and 88009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88000 and 88009.

How to find the GCF of 88000 and 88009?

We will first find the prime factorization of 88000 and 88009. After we will calculate the factors of 88000 and 88009 and find the biggest common factor number .

Step-1: Prime Factorization of 88000

Prime factors of 88000 are 2, 5, 11. Prime factorization of 88000 in exponential form is:

88000 = 2⁶ × 5³ × 11¹

Step-2: Prime Factorization of 88009

Prime factors of 88009 are 17, 31, 167. Prime factorization of 88009 in exponential form is:

88009 = 17¹ × 31¹ × 167¹

Step-3: Factors of 88000

List of positive integer factors of 88000 that divides 88000 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 64, 80, 88, 100, 110, 125, 160, 176, 200, 220, 250, 275, 320, 352, 400, 440, 500, 550, 704, 800, 880, 1000, 1100, 1375, 1600, 1760, 2000, 2200, 2750, 3520, 4000, 4400, 5500, 8000, 8800, 11000, 17600, 22000, 44000

Step-4: Factors of 88009

List of positive integer factors of 88009 that divides 88000 without a remainder.

1, 17, 31, 167, 527, 2839, 5177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88000 and 88009. The biggest common factor number is the GCF number.
So the greatest common factor 88000 and 88009 is 1.

Also check out the Least Common Multiple of 88000 and 88009