What is the Greatest Common Factor of 22000 and 22010?

Greatest common factor (GCF) of 22000 and 22010 is 10.

GCF(22000,22010) = 10

We will now calculate the prime factors of 22000 and 22010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22000 and 22010.

How to find the GCF of 22000 and 22010?

We will first find the prime factorization of 22000 and 22010. After we will calculate the factors of 22000 and 22010 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 22010

Prime factors of 22010 are 2, 5, 31, 71. Prime factorization of 22010 in exponential form is:

22010 = 2¹ × 5¹ × 31¹ × 71¹

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 22010

List of positive integer factors of 22010 that divides 22000 without a remainder.

1, 2, 5, 10, 31, 62, 71, 142, 155, 310, 355, 710, 2201, 4402, 11005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22000 and 22010. The biggest common factor number is the GCF number.
So the greatest common factor 22000 and 22010 is 10.

Also check out the Least Common Multiple of 22000 and 22010