What is the Greatest Common Factor of 20439 and 20448?

Greatest common factor (GCF) of 20439 and 20448 is 9.

GCF(20439,20448) = 9

We will now calculate the prime factors of 20439 and 20448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20439 and 20448.

How to find the GCF of 20439 and 20448?

We will first find the prime factorization of 20439 and 20448. After we will calculate the factors of 20439 and 20448 and find the biggest common factor number .

Step-1: Prime Factorization of 20439

Prime factors of 20439 are 3, 757. Prime factorization of 20439 in exponential form is:

20439 = 3³ × 757¹

Step-2: 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-3: Factors of 20439

List of positive integer factors of 20439 that divides 20439 without a remainder.

1, 3, 9, 27, 757, 2271, 6813

Step-4: Factors of 20448

List of positive integer factors of 20448 that divides 20439 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20439 and 20448. The biggest common factor number is the GCF number.
So the greatest common factor 20439 and 20448 is 9.

Also check out the Least Common Multiple of 20439 and 20448