What is the Greatest Common Factor of 50196 and 50209?

Greatest common factor (GCF) of 50196 and 50209 is 1.

GCF(50196,50209) = 1

We will now calculate the prime factors of 50196 and 50209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50196 and 50209.

How to find the GCF of 50196 and 50209?

We will first find the prime factorization of 50196 and 50209. After we will calculate the factors of 50196 and 50209 and find the biggest common factor number .

Step-1: Prime Factorization of 50196

Prime factors of 50196 are 2, 3, 47, 89. Prime factorization of 50196 in exponential form is:

50196 = 2² × 3¹ × 47¹ × 89¹

Step-2: Prime Factorization of 50209

Prime factors of 50209 are 23, 37, 59. Prime factorization of 50209 in exponential form is:

50209 = 23¹ × 37¹ × 59¹

Step-3: Factors of 50196

List of positive integer factors of 50196 that divides 50196 without a remainder.

1, 2, 3, 4, 6, 12, 47, 89, 94, 141, 178, 188, 267, 282, 356, 534, 564, 1068, 4183, 8366, 12549, 16732, 25098

Step-4: Factors of 50209

List of positive integer factors of 50209 that divides 50196 without a remainder.

1, 23, 37, 59, 851, 1357, 2183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50196 and 50209. The biggest common factor number is the GCF number.
So the greatest common factor 50196 and 50209 is 1.

Also check out the Least Common Multiple of 50196 and 50209