What is the Greatest Common Factor of 20432 and 20449?

Greatest common factor (GCF) of 20432 and 20449 is 1.

GCF(20432,20449) = 1

We will now calculate the prime factors of 20432 and 20449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20432 and 20449.

How to find the GCF of 20432 and 20449?

We will first find the prime factorization of 20432 and 20449. After we will calculate the factors of 20432 and 20449 and find the biggest common factor number .

Step-1: Prime Factorization of 20432

Prime factors of 20432 are 2, 1277. Prime factorization of 20432 in exponential form is:

20432 = 2⁴ × 1277¹

Step-2: Prime Factorization of 20449

Prime factors of 20449 are 11, 13. Prime factorization of 20449 in exponential form is:

20449 = 11² × 13²

Step-3: Factors of 20432

List of positive integer factors of 20432 that divides 20432 without a remainder.

1, 2, 4, 8, 16, 1277, 2554, 5108, 10216

Step-4: Factors of 20449

List of positive integer factors of 20449 that divides 20432 without a remainder.

1, 11, 13, 121, 143, 169, 1573, 1859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20432 and 20449. The biggest common factor number is the GCF number.
So the greatest common factor 20432 and 20449 is 1.

Also check out the Least Common Multiple of 20432 and 20449