What is the Greatest Common Factor of 23456 and 23470?

Greatest common factor (GCF) of 23456 and 23470 is 2.

GCF(23456,23470) = 2

We will now calculate the prime factors of 23456 and 23470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23456 and 23470.

How to find the GCF of 23456 and 23470?

We will first find the prime factorization of 23456 and 23470. After we will calculate the factors of 23456 and 23470 and find the biggest common factor number .

Step-1: Prime Factorization of 23456

Prime factors of 23456 are 2, 733. Prime factorization of 23456 in exponential form is:

23456 = 2⁵ × 733¹

Step-2: Prime Factorization of 23470

Prime factors of 23470 are 2, 5, 2347. Prime factorization of 23470 in exponential form is:

23470 = 2¹ × 5¹ × 2347¹

Step-3: Factors of 23456

List of positive integer factors of 23456 that divides 23456 without a remainder.

1, 2, 4, 8, 16, 32, 733, 1466, 2932, 5864, 11728

Step-4: Factors of 23470

List of positive integer factors of 23470 that divides 23456 without a remainder.

1, 2, 5, 10, 2347, 4694, 11735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23456 and 23470. The biggest common factor number is the GCF number.
So the greatest common factor 23456 and 23470 is 2.

Also check out the Least Common Multiple of 23456 and 23470