What is the Greatest Common Factor of 20424 and 20438?

Greatest common factor (GCF) of 20424 and 20438 is 2.

GCF(20424,20438) = 2

We will now calculate the prime factors of 20424 and 20438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20424 and 20438.

How to find the GCF of 20424 and 20438?

We will first find the prime factorization of 20424 and 20438. After we will calculate the factors of 20424 and 20438 and find the biggest common factor number .

Step-1: Prime Factorization of 20424

Prime factors of 20424 are 2, 3, 23, 37. Prime factorization of 20424 in exponential form is:

20424 = 2³ × 3¹ × 23¹ × 37¹

Step-2: 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-3: Factors of 20424

List of positive integer factors of 20424 that divides 20424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 37, 46, 69, 74, 92, 111, 138, 148, 184, 222, 276, 296, 444, 552, 851, 888, 1702, 2553, 3404, 5106, 6808, 10212

Step-4: Factors of 20438

List of positive integer factors of 20438 that divides 20424 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20424 and 20438. The biggest common factor number is the GCF number.
So the greatest common factor 20424 and 20438 is 2.

Also check out the Least Common Multiple of 20424 and 20438