What is the Greatest Common Factor of 50140 and 50150?

Greatest common factor (GCF) of 50140 and 50150 is 10.

GCF(50140,50150) = 10

We will now calculate the prime factors of 50140 and 50150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50140 and 50150.

How to find the GCF of 50140 and 50150?

We will first find the prime factorization of 50140 and 50150. After we will calculate the factors of 50140 and 50150 and find the biggest common factor number .

Step-1: Prime Factorization of 50140

Prime factors of 50140 are 2, 5, 23, 109. Prime factorization of 50140 in exponential form is:

50140 = 2² × 5¹ × 23¹ × 109¹

Step-2: Prime Factorization of 50150

Prime factors of 50150 are 2, 5, 17, 59. Prime factorization of 50150 in exponential form is:

50150 = 2¹ × 5² × 17¹ × 59¹

Step-3: Factors of 50140

List of positive integer factors of 50140 that divides 50140 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 109, 115, 218, 230, 436, 460, 545, 1090, 2180, 2507, 5014, 10028, 12535, 25070

Step-4: Factors of 50150

List of positive integer factors of 50150 that divides 50140 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 59, 85, 118, 170, 295, 425, 590, 850, 1003, 1475, 2006, 2950, 5015, 10030, 25075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50140 and 50150. The biggest common factor number is the GCF number.
So the greatest common factor 50140 and 50150 is 10.

Also check out the Least Common Multiple of 50140 and 50150