What is the Greatest Common Factor of 22490 and 22500?

Greatest common factor (GCF) of 22490 and 22500 is 10.

GCF(22490,22500) = 10

We will now calculate the prime factors of 22490 and 22500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22490 and 22500.

How to find the GCF of 22490 and 22500?

We will first find the prime factorization of 22490 and 22500. After we will calculate the factors of 22490 and 22500 and find the biggest common factor number .

Step-1: Prime Factorization of 22490

Prime factors of 22490 are 2, 5, 13, 173. Prime factorization of 22490 in exponential form is:

22490 = 2¹ × 5¹ × 13¹ × 173¹

Step-2: Prime Factorization of 22500

Prime factors of 22500 are 2, 3, 5. Prime factorization of 22500 in exponential form is:

22500 = 2² × 3² × 5⁴

Step-3: Factors of 22490

List of positive integer factors of 22490 that divides 22490 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 173, 346, 865, 1730, 2249, 4498, 11245

Step-4: Factors of 22500

List of positive integer factors of 22500 that divides 22490 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 625, 750, 900, 1125, 1250, 1500, 1875, 2250, 2500, 3750, 4500, 5625, 7500, 11250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22490 and 22500. The biggest common factor number is the GCF number.
So the greatest common factor 22490 and 22500 is 10.

Also check out the Least Common Multiple of 22490 and 22500