What is the Greatest Common Factor of 22890 and 22900?

Greatest common factor (GCF) of 22890 and 22900 is 10.

GCF(22890,22900) = 10

We will now calculate the prime factors of 22890 and 22900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22890 and 22900.

How to find the GCF of 22890 and 22900?

We will first find the prime factorization of 22890 and 22900. After we will calculate the factors of 22890 and 22900 and find the biggest common factor number .

Step-1: Prime Factorization of 22890

Prime factors of 22890 are 2, 3, 5, 7, 109. Prime factorization of 22890 in exponential form is:

22890 = 2¹ × 3¹ × 5¹ × 7¹ × 109¹

Step-2: Prime Factorization of 22900

Prime factors of 22900 are 2, 5, 229. Prime factorization of 22900 in exponential form is:

22900 = 2² × 5² × 229¹

Step-3: Factors of 22890

List of positive integer factors of 22890 that divides 22890 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 109, 210, 218, 327, 545, 654, 763, 1090, 1526, 1635, 2289, 3270, 3815, 4578, 7630, 11445

Step-4: Factors of 22900

List of positive integer factors of 22900 that divides 22890 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 229, 458, 916, 1145, 2290, 4580, 5725, 11450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22890 and 22900. The biggest common factor number is the GCF number.
So the greatest common factor 22890 and 22900 is 10.

Also check out the Least Common Multiple of 22890 and 22900