What is the Greatest Common Factor of 2224 and 2238?

Greatest common factor (GCF) of 2224 and 2238 is 2.

GCF(2224,2238) = 2

We will now calculate the prime factors of 2224 and 2238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2224 and 2238.

How to find the GCF of 2224 and 2238?

We will first find the prime factorization of 2224 and 2238. After we will calculate the factors of 2224 and 2238 and find the biggest common factor number .

Step-1: Prime Factorization of 2224

Prime factors of 2224 are 2, 139. Prime factorization of 2224 in exponential form is:

2224 = 2⁴ × 139¹

Step-2: Prime Factorization of 2238

Prime factors of 2238 are 2, 3, 373. Prime factorization of 2238 in exponential form is:

2238 = 2¹ × 3¹ × 373¹

Step-3: Factors of 2224

List of positive integer factors of 2224 that divides 2224 without a remainder.

1, 2, 4, 8, 16, 139, 278, 556, 1112

Step-4: Factors of 2238

List of positive integer factors of 2238 that divides 2224 without a remainder.

1, 2, 3, 6, 373, 746, 1119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2224 and 2238. The biggest common factor number is the GCF number.
So the greatest common factor 2224 and 2238 is 2.

Also check out the Least Common Multiple of 2224 and 2238