What is the Greatest Common Factor of 50421 and 50428?

Greatest common factor (GCF) of 50421 and 50428 is 7.

GCF(50421,50428) = 7

We will now calculate the prime factors of 50421 and 50428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50421 and 50428.

How to find the GCF of 50421 and 50428?

We will first find the prime factorization of 50421 and 50428. After we will calculate the factors of 50421 and 50428 and find the biggest common factor number .

Step-1: Prime Factorization of 50421

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

50421 = 3¹ × 7⁵

Step-2: Prime Factorization of 50428

Prime factors of 50428 are 2, 7, 1801. Prime factorization of 50428 in exponential form is:

50428 = 2² × 7¹ × 1801¹

Step-3: Factors of 50421

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

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

Step-4: Factors of 50428

List of positive integer factors of 50428 that divides 50421 without a remainder.

1, 2, 4, 7, 14, 28, 1801, 3602, 7204, 12607, 25214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50421 and 50428. The biggest common factor number is the GCF number.
So the greatest common factor 50421 and 50428 is 7.

Also check out the Least Common Multiple of 50421 and 50428