What is the Greatest Common Factor of 22876 and 22890?

Greatest common factor (GCF) of 22876 and 22890 is 14.

GCF(22876,22890) = 14

We will now calculate the prime factors of 22876 and 22890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22876 and 22890.

How to find the GCF of 22876 and 22890?

We will first find the prime factorization of 22876 and 22890. After we will calculate the factors of 22876 and 22890 and find the biggest common factor number .

Step-1: Prime Factorization of 22876

Prime factors of 22876 are 2, 7, 19, 43. Prime factorization of 22876 in exponential form is:

22876 = 2² × 7¹ × 19¹ × 43¹

Step-2: 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-3: Factors of 22876

List of positive integer factors of 22876 that divides 22876 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 43, 76, 86, 133, 172, 266, 301, 532, 602, 817, 1204, 1634, 3268, 5719, 11438

Step-4: Factors of 22890

List of positive integer factors of 22890 that divides 22876 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22876 and 22890. The biggest common factor number is the GCF number.
So the greatest common factor 22876 and 22890 is 14.

Also check out the Least Common Multiple of 22876 and 22890