What is the Greatest Common Factor of 20438 and 20449?

Greatest common factor (GCF) of 20438 and 20449 is 11.

GCF(20438,20449) = 11

We will now calculate the prime factors of 20438 and 20449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20438 and 20449.

How to find the GCF of 20438 and 20449?

We will first find the prime factorization of 20438 and 20449. After we will calculate the factors of 20438 and 20449 and find the biggest common factor number .

Step-1: Prime Factorization of 20438

Prime factors of 20438 are 2, 11, 929. Prime factorization of 20438 in exponential form is:

20438 = 2¹ × 11¹ × 929¹

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 20438

List of positive integer factors of 20438 that divides 20438 without a remainder.

1, 2, 11, 22, 929, 1858, 10219

Step-4: Factors of 20449

List of positive integer factors of 20449 that divides 20438 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 20438 and 20449. The biggest common factor number is the GCF number.
So the greatest common factor 20438 and 20449 is 11.

Also check out the Least Common Multiple of 20438 and 20449