What is the Greatest Common Factor of 50414 and 50428?

Greatest common factor (GCF) of 50414 and 50428 is 14.

GCF(50414,50428) = 14

We will now calculate the prime factors of 50414 and 50428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50414 and 50428.

How to find the GCF of 50414 and 50428?

We will first find the prime factorization of 50414 and 50428. After we will calculate the factors of 50414 and 50428 and find the biggest common factor number .

Step-1: Prime Factorization of 50414

Prime factors of 50414 are 2, 7, 13, 277. Prime factorization of 50414 in exponential form is:

50414 = 2¹ × 7¹ × 13¹ × 277¹

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 50414

List of positive integer factors of 50414 that divides 50414 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 277, 554, 1939, 3601, 3878, 7202, 25207

Step-4: Factors of 50428

List of positive integer factors of 50428 that divides 50414 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 50414 and 50428. The biggest common factor number is the GCF number.
So the greatest common factor 50414 and 50428 is 14.

Also check out the Least Common Multiple of 50414 and 50428