What is the Greatest Common Factor of 20412 and 20424?

Greatest common factor (GCF) of 20412 and 20424 is 12.

GCF(20412,20424) = 12

We will now calculate the prime factors of 20412 and 20424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20412 and 20424.

How to find the GCF of 20412 and 20424?

We will first find the prime factorization of 20412 and 20424. After we will calculate the factors of 20412 and 20424 and find the biggest common factor number .

Step-1: Prime Factorization of 20412

Prime factors of 20412 are 2, 3, 7. Prime factorization of 20412 in exponential form is:

20412 = 2² × 3⁶ × 7¹

Step-2: 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-3: Factors of 20412

List of positive integer factors of 20412 that divides 20412 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 729, 756, 972, 1134, 1458, 1701, 2268, 2916, 3402, 5103, 6804, 10206

Step-4: Factors of 20424

List of positive integer factors of 20424 that divides 20412 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20412 and 20424. The biggest common factor number is the GCF number.
So the greatest common factor 20412 and 20424 is 12.

Also check out the Least Common Multiple of 20412 and 20424