What is the Greatest Common Factor of 22000 and 22013?

Greatest common factor (GCF) of 22000 and 22013 is 1.

GCF(22000,22013) = 1

We will now calculate the prime factors of 22000 and 22013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22000 and 22013.

How to find the GCF of 22000 and 22013?

We will first find the prime factorization of 22000 and 22013. After we will calculate the factors of 22000 and 22013 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 22013

Prime factors of 22013 are 22013. Prime factorization of 22013 in exponential form is:

22013 = 22013¹

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 22013

List of positive integer factors of 22013 that divides 22000 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22000 and 22013. The biggest common factor number is the GCF number.
So the greatest common factor 22000 and 22013 is 1.

Also check out the Least Common Multiple of 22000 and 22013