What is the Greatest Common Factor of 50214 and 50232?

Greatest common factor (GCF) of 50214 and 50232 is 6.

GCF(50214,50232) = 6

We will now calculate the prime factors of 50214 and 50232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50214 and 50232.

How to find the GCF of 50214 and 50232?

We will first find the prime factorization of 50214 and 50232. After we will calculate the factors of 50214 and 50232 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 50232

Prime factors of 50232 are 2, 3, 7, 13, 23. Prime factorization of 50232 in exponential form is:

50232 = 2³ × 3¹ × 7¹ × 13¹ × 23¹

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 50232

List of positive integer factors of 50232 that divides 50214 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 23, 24, 26, 28, 39, 42, 46, 52, 56, 69, 78, 84, 91, 92, 104, 138, 156, 161, 168, 182, 184, 273, 276, 299, 312, 322, 364, 483, 546, 552, 598, 644, 728, 897, 966, 1092, 1196, 1288, 1794, 1932, 2093, 2184, 2392, 3588, 3864, 4186, 6279, 7176, 8372, 12558, 16744, 25116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50214 and 50232. The biggest common factor number is the GCF number.
So the greatest common factor 50214 and 50232 is 6.

Also check out the Least Common Multiple of 50214 and 50232