What is the Greatest Common Factor of 23508 and 23514?

Greatest common factor (GCF) of 23508 and 23514 is 6.

GCF(23508,23514) = 6

We will now calculate the prime factors of 23508 and 23514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23508 and 23514.

How to find the GCF of 23508 and 23514?

We will first find the prime factorization of 23508 and 23514. After we will calculate the factors of 23508 and 23514 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23514

Prime factors of 23514 are 2, 3, 3919. Prime factorization of 23514 in exponential form is:

23514 = 2¹ × 3¹ × 3919¹

Step-3: Factors of 23508

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

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

Step-4: Factors of 23514

List of positive integer factors of 23514 that divides 23508 without a remainder.

1, 2, 3, 6, 3919, 7838, 11757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23508 and 23514. The biggest common factor number is the GCF number.
So the greatest common factor 23508 and 23514 is 6.

Also check out the Least Common Multiple of 23508 and 23514