What is the Greatest Common Factor of 50428 and 50448?

Greatest common factor (GCF) of 50428 and 50448 is 4.

GCF(50428,50448) = 4

We will now calculate the prime factors of 50428 and 50448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50428 and 50448.

How to find the GCF of 50428 and 50448?

We will first find the prime factorization of 50428 and 50448. After we will calculate the factors of 50428 and 50448 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50448

Prime factors of 50448 are 2, 3, 1051. Prime factorization of 50448 in exponential form is:

50448 = 2⁴ × 3¹ × 1051¹

Step-3: Factors of 50428

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

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

Step-4: Factors of 50448

List of positive integer factors of 50448 that divides 50428 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1051, 2102, 3153, 4204, 6306, 8408, 12612, 16816, 25224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50428 and 50448. The biggest common factor number is the GCF number.
So the greatest common factor 50428 and 50448 is 4.

Also check out the Least Common Multiple of 50428 and 50448