What is the Greatest Common Factor of 50049 and 50055?

Greatest common factor (GCF) of 50049 and 50055 is 3.

GCF(50049,50055) = 3

We will now calculate the prime factors of 50049 and 50055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50049 and 50055.

How to find the GCF of 50049 and 50055?

We will first find the prime factorization of 50049 and 50055. After we will calculate the factors of 50049 and 50055 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 50055

Prime factors of 50055 are 3, 5, 47, 71. Prime factorization of 50055 in exponential form is:

50055 = 3¹ × 5¹ × 47¹ × 71¹

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 50055

List of positive integer factors of 50055 that divides 50049 without a remainder.

1, 3, 5, 15, 47, 71, 141, 213, 235, 355, 705, 1065, 3337, 10011, 16685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50049 and 50055. The biggest common factor number is the GCF number.
So the greatest common factor 50049 and 50055 is 3.

Also check out the Least Common Multiple of 50049 and 50055