What is the Greatest Common Factor of 22000 and 22018?

Greatest common factor (GCF) of 22000 and 22018 is 2.

GCF(22000,22018) = 2

We will now calculate the prime factors of 22000 and 22018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22000 and 22018.

How to find the GCF of 22000 and 22018?

We will first find the prime factorization of 22000 and 22018. After we will calculate the factors of 22000 and 22018 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 22018

Prime factors of 22018 are 2, 101, 109. Prime factorization of 22018 in exponential form is:

22018 = 2¹ × 101¹ × 109¹

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 22018

List of positive integer factors of 22018 that divides 22000 without a remainder.

1, 2, 101, 109, 202, 218, 11009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22000 and 22018. The biggest common factor number is the GCF number.
So the greatest common factor 22000 and 22018 is 2.

Also check out the Least Common Multiple of 22000 and 22018