What is the Greatest Common Factor of 88000 and 88011?

Greatest common factor (GCF) of 88000 and 88011 is 11.

GCF(88000,88011) = 11

We will now calculate the prime factors of 88000 and 88011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88000 and 88011.

How to find the GCF of 88000 and 88011?

We will first find the prime factorization of 88000 and 88011. After we will calculate the factors of 88000 and 88011 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 88011

Prime factors of 88011 are 3, 7, 11, 127. Prime factorization of 88011 in exponential form is:

88011 = 3² × 7¹ × 11¹ × 127¹

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 88011

List of positive integer factors of 88011 that divides 88000 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 127, 231, 381, 693, 889, 1143, 1397, 2667, 4191, 8001, 9779, 12573, 29337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88000 and 88011. The biggest common factor number is the GCF number.
So the greatest common factor 88000 and 88011 is 11.

Also check out the Least Common Multiple of 88000 and 88011