What is the Greatest Common Factor of 22000 and 22011?

Greatest common factor (GCF) of 22000 and 22011 is 11.

GCF(22000,22011) = 11

We will now calculate the prime factors of 22000 and 22011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22000 and 22011.

How to find the GCF of 22000 and 22011?

We will first find the prime factorization of 22000 and 22011. After we will calculate the factors of 22000 and 22011 and find the biggest common factor number .

Step-1: Prime Factorization of 22000

Prime factors of 22000 are 2, 5, 11. Prime factorization of 22000 in exponential form is:

22000 = 2⁴ × 5³ × 11¹

Step-2: Prime Factorization of 22011

Prime factors of 22011 are 3, 11, 23, 29. Prime factorization of 22011 in exponential form is:

22011 = 3¹ × 11¹ × 23¹ × 29¹

Step-3: Factors of 22000

List of positive integer factors of 22000 that divides 22000 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 125, 176, 200, 220, 250, 275, 400, 440, 500, 550, 880, 1000, 1100, 1375, 2000, 2200, 2750, 4400, 5500, 11000

Step-4: Factors of 22011

List of positive integer factors of 22011 that divides 22000 without a remainder.

1, 3, 11, 23, 29, 33, 69, 87, 253, 319, 667, 759, 957, 2001, 7337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22000 and 22011. The biggest common factor number is the GCF number.
So the greatest common factor 22000 and 22011 is 11.

Also check out the Least Common Multiple of 22000 and 22011