What is the Greatest Common Factor of 23476 and 23488?

Greatest common factor (GCF) of 23476 and 23488 is 4.

GCF(23476,23488) = 4

We will now calculate the prime factors of 23476 and 23488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23476 and 23488.

How to find the GCF of 23476 and 23488?

We will first find the prime factorization of 23476 and 23488. After we will calculate the factors of 23476 and 23488 and find the biggest common factor number .

Step-1: Prime Factorization of 23476

Prime factors of 23476 are 2, 5869. Prime factorization of 23476 in exponential form is:

23476 = 2² × 5869¹

Step-2: Prime Factorization of 23488

Prime factors of 23488 are 2, 367. Prime factorization of 23488 in exponential form is:

23488 = 2⁶ × 367¹

Step-3: Factors of 23476

List of positive integer factors of 23476 that divides 23476 without a remainder.

1, 2, 4, 5869, 11738

Step-4: Factors of 23488

List of positive integer factors of 23488 that divides 23476 without a remainder.

1, 2, 4, 8, 16, 32, 64, 367, 734, 1468, 2936, 5872, 11744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23476 and 23488. The biggest common factor number is the GCF number.
So the greatest common factor 23476 and 23488 is 4.

Also check out the Least Common Multiple of 23476 and 23488