What is the Greatest Common Factor of 23414 and 23424?

Greatest common factor (GCF) of 23414 and 23424 is 2.

GCF(23414,23424) = 2

We will now calculate the prime factors of 23414 and 23424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23414 and 23424.

How to find the GCF of 23414 and 23424?

We will first find the prime factorization of 23414 and 23424. After we will calculate the factors of 23414 and 23424 and find the biggest common factor number .

Step-1: Prime Factorization of 23414

Prime factors of 23414 are 2, 23, 509. Prime factorization of 23414 in exponential form is:

23414 = 2¹ × 23¹ × 509¹

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 23414

List of positive integer factors of 23414 that divides 23414 without a remainder.

1, 2, 23, 46, 509, 1018, 11707

Step-4: Factors of 23424

List of positive integer factors of 23424 that divides 23414 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 23414 and 23424. The biggest common factor number is the GCF number.
So the greatest common factor 23414 and 23424 is 2.

Also check out the Least Common Multiple of 23414 and 23424