What is the Greatest Common Factor of 50214 and 50224?

Greatest common factor (GCF) of 50214 and 50224 is 2.

GCF(50214,50224) = 2

We will now calculate the prime factors of 50214 and 50224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50214 and 50224.

How to find the GCF of 50214 and 50224?

We will first find the prime factorization of 50214 and 50224. After we will calculate the factors of 50214 and 50224 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 50224

Prime factors of 50224 are 2, 43, 73. Prime factorization of 50224 in exponential form is:

50224 = 2⁴ × 43¹ × 73¹

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 50224

List of positive integer factors of 50224 that divides 50214 without a remainder.

1, 2, 4, 8, 16, 43, 73, 86, 146, 172, 292, 344, 584, 688, 1168, 3139, 6278, 12556, 25112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50214 and 50224. The biggest common factor number is the GCF number.
So the greatest common factor 50214 and 50224 is 2.

Also check out the Least Common Multiple of 50214 and 50224