What is the Greatest Common Factor of 23408 and 23414?

Greatest common factor (GCF) of 23408 and 23414 is 2.

GCF(23408,23414) = 2

We will now calculate the prime factors of 23408 and 23414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23408 and 23414.

How to find the GCF of 23408 and 23414?

We will first find the prime factorization of 23408 and 23414. After we will calculate the factors of 23408 and 23414 and find the biggest common factor number .

Step-1: Prime Factorization of 23408

Prime factors of 23408 are 2, 7, 11, 19. Prime factorization of 23408 in exponential form is:

23408 = 2⁴ × 7¹ × 11¹ × 19¹

Step-2: 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-3: Factors of 23408

List of positive integer factors of 23408 that divides 23408 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 19, 22, 28, 38, 44, 56, 76, 77, 88, 112, 133, 152, 154, 176, 209, 266, 304, 308, 418, 532, 616, 836, 1064, 1232, 1463, 1672, 2128, 2926, 3344, 5852, 11704

Step-4: Factors of 23414

List of positive integer factors of 23414 that divides 23408 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23408 and 23414. The biggest common factor number is the GCF number.
So the greatest common factor 23408 and 23414 is 2.

Also check out the Least Common Multiple of 23408 and 23414