What is the Greatest Common Factor of 23648 and 23654?

Greatest common factor (GCF) of 23648 and 23654 is 2.

GCF(23648,23654) = 2

We will now calculate the prime factors of 23648 and 23654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23648 and 23654.

How to find the GCF of 23648 and 23654?

We will first find the prime factorization of 23648 and 23654. After we will calculate the factors of 23648 and 23654 and find the biggest common factor number .

Step-1: Prime Factorization of 23648

Prime factors of 23648 are 2, 739. Prime factorization of 23648 in exponential form is:

23648 = 2⁵ × 739¹

Step-2: Prime Factorization of 23654

Prime factors of 23654 are 2, 11827. Prime factorization of 23654 in exponential form is:

23654 = 2¹ × 11827¹

Step-3: Factors of 23648

List of positive integer factors of 23648 that divides 23648 without a remainder.

1, 2, 4, 8, 16, 32, 739, 1478, 2956, 5912, 11824

Step-4: Factors of 23654

List of positive integer factors of 23654 that divides 23648 without a remainder.

1, 2, 11827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23648 and 23654. The biggest common factor number is the GCF number.
So the greatest common factor 23648 and 23654 is 2.

Also check out the Least Common Multiple of 23648 and 23654