What is the Greatest Common Factor of 22890 and 22904?

Greatest common factor (GCF) of 22890 and 22904 is 14.

GCF(22890,22904) = 14

We will now calculate the prime factors of 22890 and 22904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22890 and 22904.

How to find the GCF of 22890 and 22904?

We will first find the prime factorization of 22890 and 22904. After we will calculate the factors of 22890 and 22904 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 22904

Prime factors of 22904 are 2, 7, 409. Prime factorization of 22904 in exponential form is:

22904 = 2³ × 7¹ × 409¹

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 22904

List of positive integer factors of 22904 that divides 22890 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 409, 818, 1636, 2863, 3272, 5726, 11452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22890 and 22904. The biggest common factor number is the GCF number.
So the greatest common factor 22890 and 22904 is 14.

Also check out the Least Common Multiple of 22890 and 22904