What is the Greatest Common Factor of 23247 and 23261?

Greatest common factor (GCF) of 23247 and 23261 is 7.

GCF(23247,23261) = 7

We will now calculate the prime factors of 23247 and 23261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23247 and 23261.

How to find the GCF of 23247 and 23261?

We will first find the prime factorization of 23247 and 23261. After we will calculate the factors of 23247 and 23261 and find the biggest common factor number .

Step-1: Prime Factorization of 23247

Prime factors of 23247 are 3, 7, 41. Prime factorization of 23247 in exponential form is:

23247 = 3⁴ × 7¹ × 41¹

Step-2: Prime Factorization of 23261

Prime factors of 23261 are 7, 3323. Prime factorization of 23261 in exponential form is:

23261 = 7¹ × 3323¹

Step-3: Factors of 23247

List of positive integer factors of 23247 that divides 23247 without a remainder.

1, 3, 7, 9, 21, 27, 41, 63, 81, 123, 189, 287, 369, 567, 861, 1107, 2583, 3321, 7749

Step-4: Factors of 23261

List of positive integer factors of 23261 that divides 23247 without a remainder.

1, 7, 3323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23247 and 23261. The biggest common factor number is the GCF number.
So the greatest common factor 23247 and 23261 is 7.

Also check out the Least Common Multiple of 23247 and 23261