What is the Greatest Common Factor of 23415 and 23424?

Greatest common factor (GCF) of 23415 and 23424 is 3.

GCF(23415,23424) = 3

We will now calculate the prime factors of 23415 and 23424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23415 and 23424.

How to find the GCF of 23415 and 23424?

We will first find the prime factorization of 23415 and 23424. After we will calculate the factors of 23415 and 23424 and find the biggest common factor number .

Step-1: Prime Factorization of 23415

Prime factors of 23415 are 3, 5, 7, 223. Prime factorization of 23415 in exponential form is:

23415 = 3¹ × 5¹ × 7¹ × 223¹

Step-2: Prime Factorization of 23424

Prime factors of 23424 are 2, 3, 61. Prime factorization of 23424 in exponential form is:

23424 = 2⁷ × 3¹ × 61¹

Step-3: Factors of 23415

List of positive integer factors of 23415 that divides 23415 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 223, 669, 1115, 1561, 3345, 4683, 7805

Step-4: Factors of 23424

List of positive integer factors of 23424 that divides 23415 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 64, 96, 122, 128, 183, 192, 244, 366, 384, 488, 732, 976, 1464, 1952, 2928, 3904, 5856, 7808, 11712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23415 and 23424. The biggest common factor number is the GCF number.
So the greatest common factor 23415 and 23424 is 3.

Also check out the Least Common Multiple of 23415 and 23424