What is the Greatest Common Factor of 50197 and 50204?

Greatest common factor (GCF) of 50197 and 50204 is 7.

GCF(50197,50204) = 7

We will now calculate the prime factors of 50197 and 50204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50197 and 50204.

How to find the GCF of 50197 and 50204?

We will first find the prime factorization of 50197 and 50204. After we will calculate the factors of 50197 and 50204 and find the biggest common factor number .

Step-1: Prime Factorization of 50197

Prime factors of 50197 are 7, 71, 101. Prime factorization of 50197 in exponential form is:

50197 = 7¹ × 71¹ × 101¹

Step-2: 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-3: Factors of 50197

List of positive integer factors of 50197 that divides 50197 without a remainder.

1, 7, 71, 101, 497, 707, 7171

Step-4: Factors of 50204

List of positive integer factors of 50204 that divides 50197 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50197 and 50204. The biggest common factor number is the GCF number.
So the greatest common factor 50197 and 50204 is 7.

Also check out the Least Common Multiple of 50197 and 50204