What is the Greatest Common Factor of 9253 and 9272?

Greatest common factor (GCF) of 9253 and 9272 is 19.

GCF(9253,9272) = 19

We will now calculate the prime factors of 9253 and 9272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9253 and 9272.

How to find the GCF of 9253 and 9272?

We will first find the prime factorization of 9253 and 9272. After we will calculate the factors of 9253 and 9272 and find the biggest common factor number .

Step-1: Prime Factorization of 9253

Prime factors of 9253 are 19, 487. Prime factorization of 9253 in exponential form is:

9253 = 19¹ × 487¹

Step-2: Prime Factorization of 9272

Prime factors of 9272 are 2, 19, 61. Prime factorization of 9272 in exponential form is:

9272 = 2³ × 19¹ × 61¹

Step-3: Factors of 9253

List of positive integer factors of 9253 that divides 9253 without a remainder.

1, 19, 487

Step-4: Factors of 9272

List of positive integer factors of 9272 that divides 9253 without a remainder.

1, 2, 4, 8, 19, 38, 61, 76, 122, 152, 244, 488, 1159, 2318, 4636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9253 and 9272. The biggest common factor number is the GCF number.
So the greatest common factor 9253 and 9272 is 19.

Also check out the Least Common Multiple of 9253 and 9272