What is the Greatest Common Factor of 50340 and 50350?

Greatest common factor (GCF) of 50340 and 50350 is 10.

GCF(50340,50350) = 10

We will now calculate the prime factors of 50340 and 50350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50340 and 50350.

How to find the GCF of 50340 and 50350?

We will first find the prime factorization of 50340 and 50350. After we will calculate the factors of 50340 and 50350 and find the biggest common factor number .

Step-1: Prime Factorization of 50340

Prime factors of 50340 are 2, 3, 5, 839. Prime factorization of 50340 in exponential form is:

50340 = 2² × 3¹ × 5¹ × 839¹

Step-2: Prime Factorization of 50350

Prime factors of 50350 are 2, 5, 19, 53. Prime factorization of 50350 in exponential form is:

50350 = 2¹ × 5² × 19¹ × 53¹

Step-3: Factors of 50340

List of positive integer factors of 50340 that divides 50340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 839, 1678, 2517, 3356, 4195, 5034, 8390, 10068, 12585, 16780, 25170

Step-4: Factors of 50350

List of positive integer factors of 50350 that divides 50340 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 53, 95, 106, 190, 265, 475, 530, 950, 1007, 1325, 2014, 2650, 5035, 10070, 25175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50340 and 50350. The biggest common factor number is the GCF number.
So the greatest common factor 50340 and 50350 is 10.

Also check out the Least Common Multiple of 50340 and 50350