What is the Greatest Common Factor of 50054 and 50074?

Greatest common factor (GCF) of 50054 and 50074 is 2.

GCF(50054,50074) = 2

We will now calculate the prime factors of 50054 and 50074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50054 and 50074.

How to find the GCF of 50054 and 50074?

We will first find the prime factorization of 50054 and 50074. After we will calculate the factors of 50054 and 50074 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 50074

Prime factors of 50074 are 2, 25037. Prime factorization of 50074 in exponential form is:

50074 = 2¹ × 25037¹

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 50074

List of positive integer factors of 50074 that divides 50054 without a remainder.

1, 2, 25037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50054 and 50074. The biggest common factor number is the GCF number.
So the greatest common factor 50054 and 50074 is 2.

Also check out the Least Common Multiple of 50054 and 50074