What is the Greatest Common Factor of 7224 and 7231?

Greatest common factor (GCF) of 7224 and 7231 is 7.

GCF(7224,7231) = 7

We will now calculate the prime factors of 7224 and 7231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7224 and 7231.

How to find the GCF of 7224 and 7231?

We will first find the prime factorization of 7224 and 7231. After we will calculate the factors of 7224 and 7231 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 7231

Prime factors of 7231 are 7, 1033. Prime factorization of 7231 in exponential form is:

7231 = 7¹ × 1033¹

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 7231

List of positive integer factors of 7231 that divides 7224 without a remainder.

1, 7, 1033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7224 and 7231. The biggest common factor number is the GCF number.
So the greatest common factor 7224 and 7231 is 7.

Also check out the Least Common Multiple of 7224 and 7231