What is the Greatest Common Factor of 9258 and 9272?

Greatest common factor (GCF) of 9258 and 9272 is 2.

GCF(9258,9272) = 2

We will now calculate the prime factors of 9258 and 9272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9258 and 9272.

How to find the GCF of 9258 and 9272?

We will first find the prime factorization of 9258 and 9272. After we will calculate the factors of 9258 and 9272 and find the biggest common factor number .

Step-1: Prime Factorization of 9258

Prime factors of 9258 are 2, 3, 1543. Prime factorization of 9258 in exponential form is:

9258 = 2¹ × 3¹ × 1543¹

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 9258

List of positive integer factors of 9258 that divides 9258 without a remainder.

1, 2, 3, 6, 1543, 3086, 4629

Step-4: Factors of 9272

List of positive integer factors of 9272 that divides 9258 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 9258 and 9272. The biggest common factor number is the GCF number.
So the greatest common factor 9258 and 9272 is 2.

Also check out the Least Common Multiple of 9258 and 9272