What is the Greatest Common Factor of 23514 and 23529?

Greatest common factor (GCF) of 23514 and 23529 is 3.

GCF(23514,23529) = 3

We will now calculate the prime factors of 23514 and 23529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23514 and 23529.

How to find the GCF of 23514 and 23529?

We will first find the prime factorization of 23514 and 23529. After we will calculate the factors of 23514 and 23529 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23529

Prime factors of 23529 are 3, 11, 23, 31. Prime factorization of 23529 in exponential form is:

23529 = 3¹ × 11¹ × 23¹ × 31¹

Step-3: Factors of 23514

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

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

Step-4: Factors of 23529

List of positive integer factors of 23529 that divides 23514 without a remainder.

1, 3, 11, 23, 31, 33, 69, 93, 253, 341, 713, 759, 1023, 2139, 7843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23514 and 23529. The biggest common factor number is the GCF number.
So the greatest common factor 23514 and 23529 is 3.

Also check out the Least Common Multiple of 23514 and 23529