What is the Greatest Common Factor of 50409 and 50421?

Greatest common factor (GCF) of 50409 and 50421 is 3.

GCF(50409,50421) = 3

We will now calculate the prime factors of 50409 and 50421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50409 and 50421.

How to find the GCF of 50409 and 50421?

We will first find the prime factorization of 50409 and 50421. After we will calculate the factors of 50409 and 50421 and find the biggest common factor number .

Step-1: Prime Factorization of 50409

Prime factors of 50409 are 3, 1867. Prime factorization of 50409 in exponential form is:

50409 = 3³ × 1867¹

Step-2: Prime Factorization of 50421

Prime factors of 50421 are 3, 7. Prime factorization of 50421 in exponential form is:

50421 = 3¹ × 7⁵

Step-3: Factors of 50409

List of positive integer factors of 50409 that divides 50409 without a remainder.

1, 3, 9, 27, 1867, 5601, 16803

Step-4: Factors of 50421

List of positive integer factors of 50421 that divides 50409 without a remainder.

1, 3, 7, 21, 49, 147, 343, 1029, 2401, 7203, 16807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50409 and 50421. The biggest common factor number is the GCF number.
So the greatest common factor 50409 and 50421 is 3.

Also check out the Least Common Multiple of 50409 and 50421