What is the Greatest Common Factor of 50413 and 50424?

Greatest common factor (GCF) of 50413 and 50424 is 11.

GCF(50413,50424) = 11

We will now calculate the prime factors of 50413 and 50424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50413 and 50424.

How to find the GCF of 50413 and 50424?

We will first find the prime factorization of 50413 and 50424. After we will calculate the factors of 50413 and 50424 and find the biggest common factor number .

Step-1: Prime Factorization of 50413

Prime factors of 50413 are 11, 4583. Prime factorization of 50413 in exponential form is:

50413 = 11¹ × 4583¹

Step-2: Prime Factorization of 50424

Prime factors of 50424 are 2, 3, 11, 191. Prime factorization of 50424 in exponential form is:

50424 = 2³ × 3¹ × 11¹ × 191¹

Step-3: Factors of 50413

List of positive integer factors of 50413 that divides 50413 without a remainder.

1, 11, 4583

Step-4: Factors of 50424

List of positive integer factors of 50424 that divides 50413 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 191, 264, 382, 573, 764, 1146, 1528, 2101, 2292, 4202, 4584, 6303, 8404, 12606, 16808, 25212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50413 and 50424. The biggest common factor number is the GCF number.
So the greatest common factor 50413 and 50424 is 11.

Also check out the Least Common Multiple of 50413 and 50424