What is the Greatest Common Factor of 2223 and 2236?

Greatest common factor (GCF) of 2223 and 2236 is 13.

GCF(2223,2236) = 13

We will now calculate the prime factors of 2223 and 2236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2223 and 2236.

How to find the GCF of 2223 and 2236?

We will first find the prime factorization of 2223 and 2236. After we will calculate the factors of 2223 and 2236 and find the biggest common factor number .

Step-1: Prime Factorization of 2223

Prime factors of 2223 are 3, 13, 19. Prime factorization of 2223 in exponential form is:

2223 = 3² × 13¹ × 19¹

Step-2: Prime Factorization of 2236

Prime factors of 2236 are 2, 13, 43. Prime factorization of 2236 in exponential form is:

2236 = 2² × 13¹ × 43¹

Step-3: Factors of 2223

List of positive integer factors of 2223 that divides 2223 without a remainder.

1, 3, 9, 13, 19, 39, 57, 117, 171, 247, 741

Step-4: Factors of 2236

List of positive integer factors of 2236 that divides 2223 without a remainder.

1, 2, 4, 13, 26, 43, 52, 86, 172, 559, 1118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2223 and 2236. The biggest common factor number is the GCF number.
So the greatest common factor 2223 and 2236 is 13.

Also check out the Least Common Multiple of 2223 and 2236