What is the Greatest Common Factor of 50049 and 50067?

Greatest common factor (GCF) of 50049 and 50067 is 9.

GCF(50049,50067) = 9

We will now calculate the prime factors of 50049 and 50067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50049 and 50067.

How to find the GCF of 50049 and 50067?

We will first find the prime factorization of 50049 and 50067. After we will calculate the factors of 50049 and 50067 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 50067

Prime factors of 50067 are 3, 5563. Prime factorization of 50067 in exponential form is:

50067 = 3² × 5563¹

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 50067

List of positive integer factors of 50067 that divides 50049 without a remainder.

1, 3, 9, 5563, 16689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50049 and 50067. The biggest common factor number is the GCF number.
So the greatest common factor 50049 and 50067 is 9.

Also check out the Least Common Multiple of 50049 and 50067