What is the Greatest Common Factor of 2226 and 2233?

Greatest common factor (GCF) of 2226 and 2233 is 7.

GCF(2226,2233) = 7

We will now calculate the prime factors of 2226 and 2233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2226 and 2233.

How to find the GCF of 2226 and 2233?

We will first find the prime factorization of 2226 and 2233. After we will calculate the factors of 2226 and 2233 and find the biggest common factor number .

Step-1: Prime Factorization of 2226

Prime factors of 2226 are 2, 3, 7, 53. Prime factorization of 2226 in exponential form is:

2226 = 2¹ × 3¹ × 7¹ × 53¹

Step-2: Prime Factorization of 2233

Prime factors of 2233 are 7, 11, 29. Prime factorization of 2233 in exponential form is:

2233 = 7¹ × 11¹ × 29¹

Step-3: Factors of 2226

List of positive integer factors of 2226 that divides 2226 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 1113

Step-4: Factors of 2233

List of positive integer factors of 2233 that divides 2226 without a remainder.

1, 7, 11, 29, 77, 203, 319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2226 and 2233. The biggest common factor number is the GCF number.
So the greatest common factor 2226 and 2233 is 7.

Also check out the Least Common Multiple of 2226 and 2233