What is the Greatest Common Factor of 50414 and 50427?

Greatest common factor (GCF) of 50414 and 50427 is 13.

GCF(50414,50427) = 13

We will now calculate the prime factors of 50414 and 50427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50414 and 50427.

How to find the GCF of 50414 and 50427?

We will first find the prime factorization of 50414 and 50427. After we will calculate the factors of 50414 and 50427 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 50427

Prime factors of 50427 are 3, 13, 431. Prime factorization of 50427 in exponential form is:

50427 = 3² × 13¹ × 431¹

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 50427

List of positive integer factors of 50427 that divides 50414 without a remainder.

1, 3, 9, 13, 39, 117, 431, 1293, 3879, 5603, 16809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50414 and 50427. The biggest common factor number is the GCF number.
So the greatest common factor 50414 and 50427 is 13.

Also check out the Least Common Multiple of 50414 and 50427