What is the Greatest Common Factor of 7263 and 7272?

Greatest common factor (GCF) of 7263 and 7272 is 9.

GCF(7263,7272) = 9

We will now calculate the prime factors of 7263 and 7272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7263 and 7272.

How to find the GCF of 7263 and 7272?

We will first find the prime factorization of 7263 and 7272. After we will calculate the factors of 7263 and 7272 and find the biggest common factor number .

Step-1: Prime Factorization of 7263

Prime factors of 7263 are 3, 269. Prime factorization of 7263 in exponential form is:

7263 = 3³ × 269¹

Step-2: Prime Factorization of 7272

Prime factors of 7272 are 2, 3, 101. Prime factorization of 7272 in exponential form is:

7272 = 2³ × 3² × 101¹

Step-3: Factors of 7263

List of positive integer factors of 7263 that divides 7263 without a remainder.

1, 3, 9, 27, 269, 807, 2421

Step-4: Factors of 7272

List of positive integer factors of 7272 that divides 7263 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 101, 202, 303, 404, 606, 808, 909, 1212, 1818, 2424, 3636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7263 and 7272. The biggest common factor number is the GCF number.
So the greatest common factor 7263 and 7272 is 9.

Also check out the Least Common Multiple of 7263 and 7272