What is the Greatest Common Factor of 50401 and 50414?

Greatest common factor (GCF) of 50401 and 50414 is 13.

GCF(50401,50414) = 13

We will now calculate the prime factors of 50401 and 50414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50401 and 50414.

How to find the GCF of 50401 and 50414?

We will first find the prime factorization of 50401 and 50414. After we will calculate the factors of 50401 and 50414 and find the biggest common factor number .

Step-1: Prime Factorization of 50401

Prime factors of 50401 are 13, 3877. Prime factorization of 50401 in exponential form is:

50401 = 13¹ × 3877¹

Step-2: 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-3: Factors of 50401

List of positive integer factors of 50401 that divides 50401 without a remainder.

1, 13, 3877

Step-4: Factors of 50414

List of positive integer factors of 50414 that divides 50401 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50401 and 50414. The biggest common factor number is the GCF number.
So the greatest common factor 50401 and 50414 is 13.

Also check out the Least Common Multiple of 50401 and 50414