What is the Greatest Common Factor of 50144 and 50150?

Greatest common factor (GCF) of 50144 and 50150 is 2.

GCF(50144,50150) = 2

We will now calculate the prime factors of 50144 and 50150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50144 and 50150.

How to find the GCF of 50144 and 50150?

We will first find the prime factorization of 50144 and 50150. After we will calculate the factors of 50144 and 50150 and find the biggest common factor number .

Step-1: Prime Factorization of 50144

Prime factors of 50144 are 2, 1567. Prime factorization of 50144 in exponential form is:

50144 = 2⁵ × 1567¹

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 50144

List of positive integer factors of 50144 that divides 50144 without a remainder.

1, 2, 4, 8, 16, 32, 1567, 3134, 6268, 12536, 25072

Step-4: Factors of 50150

List of positive integer factors of 50150 that divides 50144 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 50144 and 50150. The biggest common factor number is the GCF number.
So the greatest common factor 50144 and 50150 is 2.

Also check out the Least Common Multiple of 50144 and 50150