What is the Greatest Common Factor of 50208 and 50214?

Greatest common factor (GCF) of 50208 and 50214 is 6.

GCF(50208,50214) = 6

We will now calculate the prime factors of 50208 and 50214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50208 and 50214.

How to find the GCF of 50208 and 50214?

We will first find the prime factorization of 50208 and 50214. After we will calculate the factors of 50208 and 50214 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50214

Prime factors of 50214 are 2, 3, 8369. Prime factorization of 50214 in exponential form is:

50214 = 2¹ × 3¹ × 8369¹

Step-3: Factors of 50208

List of positive integer factors of 50208 that divides 50208 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

Step-4: Factors of 50214

List of positive integer factors of 50214 that divides 50208 without a remainder.

1, 2, 3, 6, 8369, 16738, 25107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50208 and 50214. The biggest common factor number is the GCF number.
So the greatest common factor 50208 and 50214 is 6.

Also check out the Least Common Multiple of 50208 and 50214