What is the Greatest Common Factor of 50408 and 50424?

Greatest common factor (GCF) of 50408 and 50424 is 8.

GCF(50408,50424) = 8

We will now calculate the prime factors of 50408 and 50424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50408 and 50424.

How to find the GCF of 50408 and 50424?

We will first find the prime factorization of 50408 and 50424. After we will calculate the factors of 50408 and 50424 and find the biggest common factor number .

Step-1: Prime Factorization of 50408

Prime factors of 50408 are 2, 6301. Prime factorization of 50408 in exponential form is:

50408 = 2³ × 6301¹

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 50408

List of positive integer factors of 50408 that divides 50408 without a remainder.

1, 2, 4, 8, 6301, 12602, 25204

Step-4: Factors of 50424

List of positive integer factors of 50424 that divides 50408 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 50408 and 50424. The biggest common factor number is the GCF number.
So the greatest common factor 50408 and 50424 is 8.

Also check out the Least Common Multiple of 50408 and 50424