What is the Greatest Common Factor of 23504 and 23508?

Greatest common factor (GCF) of 23504 and 23508 is 4.

GCF(23504,23508) = 4

We will now calculate the prime factors of 23504 and 23508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23504 and 23508.

How to find the GCF of 23504 and 23508?

We will first find the prime factorization of 23504 and 23508. After we will calculate the factors of 23504 and 23508 and find the biggest common factor number .

Step-1: Prime Factorization of 23504

Prime factors of 23504 are 2, 13, 113. Prime factorization of 23504 in exponential form is:

23504 = 2⁴ × 13¹ × 113¹

Step-2: Prime Factorization of 23508

Prime factors of 23508 are 2, 3, 653. Prime factorization of 23508 in exponential form is:

23508 = 2² × 3² × 653¹

Step-3: Factors of 23504

List of positive integer factors of 23504 that divides 23504 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 113, 208, 226, 452, 904, 1469, 1808, 2938, 5876, 11752

Step-4: Factors of 23508

List of positive integer factors of 23508 that divides 23504 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 653, 1306, 1959, 2612, 3918, 5877, 7836, 11754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23504 and 23508. The biggest common factor number is the GCF number.
So the greatest common factor 23504 and 23508 is 4.

Also check out the Least Common Multiple of 23504 and 23508