What is the Greatest Common Factor of 23464 and 23472?

Greatest common factor (GCF) of 23464 and 23472 is 8.

GCF(23464,23472) = 8

We will now calculate the prime factors of 23464 and 23472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23464 and 23472.

How to find the GCF of 23464 and 23472?

We will first find the prime factorization of 23464 and 23472. After we will calculate the factors of 23464 and 23472 and find the biggest common factor number .

Step-1: Prime Factorization of 23464

Prime factors of 23464 are 2, 7, 419. Prime factorization of 23464 in exponential form is:

23464 = 2³ × 7¹ × 419¹

Step-2: Prime Factorization of 23472

Prime factors of 23472 are 2, 3, 163. Prime factorization of 23472 in exponential form is:

23472 = 2⁴ × 3² × 163¹

Step-3: Factors of 23464

List of positive integer factors of 23464 that divides 23464 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 419, 838, 1676, 2933, 3352, 5866, 11732

Step-4: Factors of 23472

List of positive integer factors of 23472 that divides 23464 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 163, 326, 489, 652, 978, 1304, 1467, 1956, 2608, 2934, 3912, 5868, 7824, 11736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23464 and 23472. The biggest common factor number is the GCF number.
So the greatest common factor 23464 and 23472 is 8.

Also check out the Least Common Multiple of 23464 and 23472