What is the Greatest Common Factor of 20184 and 20202?

Greatest common factor (GCF) of 20184 and 20202 is 6.

GCF(20184,20202) = 6

We will now calculate the prime factors of 20184 and 20202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20184 and 20202.

How to find the GCF of 20184 and 20202?

We will first find the prime factorization of 20184 and 20202. After we will calculate the factors of 20184 and 20202 and find the biggest common factor number .

Step-1: Prime Factorization of 20184

Prime factors of 20184 are 2, 3, 29. Prime factorization of 20184 in exponential form is:

20184 = 2³ × 3¹ × 29²

Step-2: Prime Factorization of 20202

Prime factors of 20202 are 2, 3, 7, 13, 37. Prime factorization of 20202 in exponential form is:

20202 = 2¹ × 3¹ × 7¹ × 13¹ × 37¹

Step-3: Factors of 20184

List of positive integer factors of 20184 that divides 20184 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696, 841, 1682, 2523, 3364, 5046, 6728, 10092

Step-4: Factors of 20202

List of positive integer factors of 20202 that divides 20184 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 37, 39, 42, 74, 78, 91, 111, 182, 222, 259, 273, 481, 518, 546, 777, 962, 1443, 1554, 2886, 3367, 6734, 10101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20184 and 20202. The biggest common factor number is the GCF number.
So the greatest common factor 20184 and 20202 is 6.

Also check out the Least Common Multiple of 20184 and 20202