What is the Greatest Common Factor of 20298 and 20304?

Greatest common factor (GCF) of 20298 and 20304 is 6.

GCF(20298,20304) = 6

We will now calculate the prime factors of 20298 and 20304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20298 and 20304.

How to find the GCF of 20298 and 20304?

We will first find the prime factorization of 20298 and 20304. After we will calculate the factors of 20298 and 20304 and find the biggest common factor number .

Step-1: Prime Factorization of 20298

Prime factors of 20298 are 2, 3, 17, 199. Prime factorization of 20298 in exponential form is:

20298 = 2¹ × 3¹ × 17¹ × 199¹

Step-2: Prime Factorization of 20304

Prime factors of 20304 are 2, 3, 47. Prime factorization of 20304 in exponential form is:

20304 = 2⁴ × 3³ × 47¹

Step-3: Factors of 20298

List of positive integer factors of 20298 that divides 20298 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 199, 398, 597, 1194, 3383, 6766, 10149

Step-4: Factors of 20304

List of positive integer factors of 20304 that divides 20298 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 47, 48, 54, 72, 94, 108, 141, 144, 188, 216, 282, 376, 423, 432, 564, 752, 846, 1128, 1269, 1692, 2256, 2538, 3384, 5076, 6768, 10152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20298 and 20304. The biggest common factor number is the GCF number.
So the greatest common factor 20298 and 20304 is 6.

Also check out the Least Common Multiple of 20298 and 20304