What is the Greatest Common Factor of 50204 and 50216?

Greatest common factor (GCF) of 50204 and 50216 is 4.

GCF(50204,50216) = 4

We will now calculate the prime factors of 50204 and 50216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50204 and 50216.

How to find the GCF of 50204 and 50216?

We will first find the prime factorization of 50204 and 50216. After we will calculate the factors of 50204 and 50216 and find the biggest common factor number .

Step-1: Prime Factorization of 50204

Prime factors of 50204 are 2, 7, 11, 163. Prime factorization of 50204 in exponential form is:

50204 = 2² × 7¹ × 11¹ × 163¹

Step-2: Prime Factorization of 50216

Prime factors of 50216 are 2, 6277. Prime factorization of 50216 in exponential form is:

50216 = 2³ × 6277¹

Step-3: Factors of 50204

List of positive integer factors of 50204 that divides 50204 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 163, 308, 326, 652, 1141, 1793, 2282, 3586, 4564, 7172, 12551, 25102

Step-4: Factors of 50216

List of positive integer factors of 50216 that divides 50204 without a remainder.

1, 2, 4, 8, 6277, 12554, 25108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50204 and 50216. The biggest common factor number is the GCF number.
So the greatest common factor 50204 and 50216 is 4.

Also check out the Least Common Multiple of 50204 and 50216