What is the Greatest Common Factor of 50310 and 50314?

Greatest common factor (GCF) of 50310 and 50314 is 2.

GCF(50310,50314) = 2

We will now calculate the prime factors of 50310 and 50314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50310 and 50314.

How to find the GCF of 50310 and 50314?

We will first find the prime factorization of 50310 and 50314. After we will calculate the factors of 50310 and 50314 and find the biggest common factor number .

Step-1: Prime Factorization of 50310

Prime factors of 50310 are 2, 3, 5, 13, 43. Prime factorization of 50310 in exponential form is:

50310 = 2¹ × 3² × 5¹ × 13¹ × 43¹

Step-2: Prime Factorization of 50314

Prime factors of 50314 are 2, 11, 2287. Prime factorization of 50314 in exponential form is:

50314 = 2¹ × 11¹ × 2287¹

Step-3: Factors of 50310

List of positive integer factors of 50310 that divides 50310 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 43, 45, 65, 78, 86, 90, 117, 129, 130, 195, 215, 234, 258, 387, 390, 430, 559, 585, 645, 774, 1118, 1170, 1290, 1677, 1935, 2795, 3354, 3870, 5031, 5590, 8385, 10062, 16770, 25155

Step-4: Factors of 50314

List of positive integer factors of 50314 that divides 50310 without a remainder.

1, 2, 11, 22, 2287, 4574, 25157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50310 and 50314. The biggest common factor number is the GCF number.
So the greatest common factor 50310 and 50314 is 2.

Also check out the Least Common Multiple of 50310 and 50314