What is the Greatest Common Factor of 50214 and 50218?

Greatest common factor (GCF) of 50214 and 50218 is 2.

GCF(50214,50218) = 2

We will now calculate the prime factors of 50214 and 50218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50214 and 50218.

How to find the GCF of 50214 and 50218?

We will first find the prime factorization of 50214 and 50218. After we will calculate the factors of 50214 and 50218 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50218

Prime factors of 50218 are 2, 7, 17, 211. Prime factorization of 50218 in exponential form is:

50218 = 2¹ × 7¹ × 17¹ × 211¹

Step-3: Factors of 50214

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

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

Step-4: Factors of 50218

List of positive integer factors of 50218 that divides 50214 without a remainder.

1, 2, 7, 14, 17, 34, 119, 211, 238, 422, 1477, 2954, 3587, 7174, 25109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50214 and 50218. The biggest common factor number is the GCF number.
So the greatest common factor 50214 and 50218 is 2.

Also check out the Least Common Multiple of 50214 and 50218