What is the Greatest Common Factor of 23488 and 23502?

Greatest common factor (GCF) of 23488 and 23502 is 2.

GCF(23488,23502) = 2

We will now calculate the prime factors of 23488 and 23502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23488 and 23502.

How to find the GCF of 23488 and 23502?

We will first find the prime factorization of 23488 and 23502. After we will calculate the factors of 23488 and 23502 and find the biggest common factor number .

Step-1: Prime Factorization of 23488

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

23488 = 2⁶ × 367¹

Step-2: Prime Factorization of 23502

Prime factors of 23502 are 2, 3, 3917. Prime factorization of 23502 in exponential form is:

23502 = 2¹ × 3¹ × 3917¹

Step-3: Factors of 23488

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

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

Step-4: Factors of 23502

List of positive integer factors of 23502 that divides 23488 without a remainder.

1, 2, 3, 6, 3917, 7834, 11751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23488 and 23502. The biggest common factor number is the GCF number.
So the greatest common factor 23488 and 23502 is 2.

Also check out the Least Common Multiple of 23488 and 23502