What is the Greatest Common Factor of 23548 and 23554?

Greatest common factor (GCF) of 23548 and 23554 is 2.

GCF(23548,23554) = 2

We will now calculate the prime factors of 23548 and 23554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23548 and 23554.

How to find the GCF of 23548 and 23554?

We will first find the prime factorization of 23548 and 23554. After we will calculate the factors of 23548 and 23554 and find the biggest common factor number .

Step-1: Prime Factorization of 23548

Prime factors of 23548 are 2, 7, 29. Prime factorization of 23548 in exponential form is:

23548 = 2² × 7¹ × 29²

Step-2: Prime Factorization of 23554

Prime factors of 23554 are 2, 11777. Prime factorization of 23554 in exponential form is:

23554 = 2¹ × 11777¹

Step-3: Factors of 23548

List of positive integer factors of 23548 that divides 23548 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812, 841, 1682, 3364, 5887, 11774

Step-4: Factors of 23554

List of positive integer factors of 23554 that divides 23548 without a remainder.

1, 2, 11777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23548 and 23554. The biggest common factor number is the GCF number.
So the greatest common factor 23548 and 23554 is 2.

Also check out the Least Common Multiple of 23548 and 23554