What is the Greatest Common Factor of 50428 and 50442?

Greatest common factor (GCF) of 50428 and 50442 is 14.

GCF(50428,50442) = 14

We will now calculate the prime factors of 50428 and 50442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50428 and 50442.

How to find the GCF of 50428 and 50442?

We will first find the prime factorization of 50428 and 50442. After we will calculate the factors of 50428 and 50442 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 50442

Prime factors of 50442 are 2, 3, 7, 1201. Prime factorization of 50442 in exponential form is:

50442 = 2¹ × 3¹ × 7¹ × 1201¹

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 50442

List of positive integer factors of 50442 that divides 50428 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1201, 2402, 3603, 7206, 8407, 16814, 25221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50428 and 50442. The biggest common factor number is the GCF number.
So the greatest common factor 50428 and 50442 is 14.

Also check out the Least Common Multiple of 50428 and 50442