What is the Greatest Common Factor of 50049 and 50054?

Greatest common factor (GCF) of 50049 and 50054 is 1.

GCF(50049,50054) = 1

We will now calculate the prime factors of 50049 and 50054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50049 and 50054.

How to find the GCF of 50049 and 50054?

We will first find the prime factorization of 50049 and 50054. After we will calculate the factors of 50049 and 50054 and find the biggest common factor number .

Step-1: Prime Factorization of 50049

Prime factors of 50049 are 3, 67, 83. Prime factorization of 50049 in exponential form is:

50049 = 3² × 67¹ × 83¹

Step-2: 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-3: Factors of 50049

List of positive integer factors of 50049 that divides 50049 without a remainder.

1, 3, 9, 67, 83, 201, 249, 603, 747, 5561, 16683

Step-4: Factors of 50054

List of positive integer factors of 50054 that divides 50049 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50049 and 50054. The biggest common factor number is the GCF number.
So the greatest common factor 50049 and 50054 is 1.

Also check out the Least Common Multiple of 50049 and 50054