What is the Greatest Common Factor of 20421 and 20436?

Greatest common factor (GCF) of 20421 and 20436 is 3.

GCF(20421,20436) = 3

We will now calculate the prime factors of 20421 and 20436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20421 and 20436.

How to find the GCF of 20421 and 20436?

We will first find the prime factorization of 20421 and 20436. After we will calculate the factors of 20421 and 20436 and find the biggest common factor number .

Step-1: Prime Factorization of 20421

Prime factors of 20421 are 3, 2269. Prime factorization of 20421 in exponential form is:

20421 = 3² × 2269¹

Step-2: Prime Factorization of 20436

Prime factors of 20436 are 2, 3, 13, 131. Prime factorization of 20436 in exponential form is:

20436 = 2² × 3¹ × 13¹ × 131¹

Step-3: Factors of 20421

List of positive integer factors of 20421 that divides 20421 without a remainder.

1, 3, 9, 2269, 6807

Step-4: Factors of 20436

List of positive integer factors of 20436 that divides 20421 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 131, 156, 262, 393, 524, 786, 1572, 1703, 3406, 5109, 6812, 10218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20421 and 20436. The biggest common factor number is the GCF number.
So the greatest common factor 20421 and 20436 is 3.

Also check out the Least Common Multiple of 20421 and 20436