What is the Greatest Common Factor of 7224 and 7238?

Greatest common factor (GCF) of 7224 and 7238 is 14.

GCF(7224,7238) = 14

We will now calculate the prime factors of 7224 and 7238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7224 and 7238.

How to find the GCF of 7224 and 7238?

We will first find the prime factorization of 7224 and 7238. After we will calculate the factors of 7224 and 7238 and find the biggest common factor number .

Step-1: Prime Factorization of 7224

Prime factors of 7224 are 2, 3, 7, 43. Prime factorization of 7224 in exponential form is:

7224 = 2³ × 3¹ × 7¹ × 43¹

Step-2: Prime Factorization of 7238

Prime factors of 7238 are 2, 7, 11, 47. Prime factorization of 7238 in exponential form is:

7238 = 2¹ × 7¹ × 11¹ × 47¹

Step-3: Factors of 7224

List of positive integer factors of 7224 that divides 7224 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 43, 56, 84, 86, 129, 168, 172, 258, 301, 344, 516, 602, 903, 1032, 1204, 1806, 2408, 3612

Step-4: Factors of 7238

List of positive integer factors of 7238 that divides 7224 without a remainder.

1, 2, 7, 11, 14, 22, 47, 77, 94, 154, 329, 517, 658, 1034, 3619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7224 and 7238. The biggest common factor number is the GCF number.
So the greatest common factor 7224 and 7238 is 14.

Also check out the Least Common Multiple of 7224 and 7238