What is the Greatest Common Factor of 50194 and 50208?

Greatest common factor (GCF) of 50194 and 50208 is 2.

GCF(50194,50208) = 2

We will now calculate the prime factors of 50194 and 50208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50194 and 50208.

How to find the GCF of 50194 and 50208?

We will first find the prime factorization of 50194 and 50208. After we will calculate the factors of 50194 and 50208 and find the biggest common factor number .

Step-1: Prime Factorization of 50194

Prime factors of 50194 are 2, 25097. Prime factorization of 50194 in exponential form is:

50194 = 2¹ × 25097¹

Step-2: Prime Factorization of 50208

Prime factors of 50208 are 2, 3, 523. Prime factorization of 50208 in exponential form is:

50208 = 2⁵ × 3¹ × 523¹

Step-3: Factors of 50194

List of positive integer factors of 50194 that divides 50194 without a remainder.

1, 2, 25097

Step-4: Factors of 50208

List of positive integer factors of 50208 that divides 50194 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 523, 1046, 1569, 2092, 3138, 4184, 6276, 8368, 12552, 16736, 25104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50194 and 50208. The biggest common factor number is the GCF number.
So the greatest common factor 50194 and 50208 is 2.

Also check out the Least Common Multiple of 50194 and 50208