What is the Greatest Common Factor of 7224 and 7234?

Greatest common factor (GCF) of 7224 and 7234 is 2.

GCF(7224,7234) = 2

We will now calculate the prime factors of 7224 and 7234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7224 and 7234.

How to find the GCF of 7224 and 7234?

We will first find the prime factorization of 7224 and 7234. After we will calculate the factors of 7224 and 7234 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 7234

Prime factors of 7234 are 2, 3617. Prime factorization of 7234 in exponential form is:

7234 = 2¹ × 3617¹

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 7234

List of positive integer factors of 7234 that divides 7224 without a remainder.

1, 2, 3617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7224 and 7234. The biggest common factor number is the GCF number.
So the greatest common factor 7224 and 7234 is 2.

Also check out the Least Common Multiple of 7224 and 7234