What is the Greatest Common Factor of 50054 and 50072?

Greatest common factor (GCF) of 50054 and 50072 is 2.

GCF(50054,50072) = 2

We will now calculate the prime factors of 50054 and 50072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50054 and 50072.

How to find the GCF of 50054 and 50072?

We will first find the prime factorization of 50054 and 50072. After we will calculate the factors of 50054 and 50072 and find the biggest common factor number .

Step-1: Prime Factorization of 50054

Prime factors of 50054 are 2, 29, 863. Prime factorization of 50054 in exponential form is:

50054 = 2¹ × 29¹ × 863¹

Step-2: Prime Factorization of 50072

Prime factors of 50072 are 2, 11, 569. Prime factorization of 50072 in exponential form is:

50072 = 2³ × 11¹ × 569¹

Step-3: Factors of 50054

List of positive integer factors of 50054 that divides 50054 without a remainder.

1, 2, 29, 58, 863, 1726, 25027

Step-4: Factors of 50072

List of positive integer factors of 50072 that divides 50054 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 569, 1138, 2276, 4552, 6259, 12518, 25036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50054 and 50072. The biggest common factor number is the GCF number.
So the greatest common factor 50054 and 50072 is 2.

Also check out the Least Common Multiple of 50054 and 50072