What is the Greatest Common Factor of 20448 and 20464?

Greatest common factor (GCF) of 20448 and 20464 is 16.

GCF(20448,20464) = 16

We will now calculate the prime factors of 20448 and 20464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20448 and 20464.

How to find the GCF of 20448 and 20464?

We will first find the prime factorization of 20448 and 20464. After we will calculate the factors of 20448 and 20464 and find the biggest common factor number .

Step-1: Prime Factorization of 20448

Prime factors of 20448 are 2, 3, 71. Prime factorization of 20448 in exponential form is:

20448 = 2⁵ × 3² × 71¹

Step-2: Prime Factorization of 20464

Prime factors of 20464 are 2, 1279. Prime factorization of 20464 in exponential form is:

20464 = 2⁴ × 1279¹

Step-3: Factors of 20448

List of positive integer factors of 20448 that divides 20448 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 71, 72, 96, 142, 144, 213, 284, 288, 426, 568, 639, 852, 1136, 1278, 1704, 2272, 2556, 3408, 5112, 6816, 10224

Step-4: Factors of 20464

List of positive integer factors of 20464 that divides 20448 without a remainder.

1, 2, 4, 8, 16, 1279, 2558, 5116, 10232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20448 and 20464. The biggest common factor number is the GCF number.
So the greatest common factor 20448 and 20464 is 16.

Also check out the Least Common Multiple of 20448 and 20464