What is the Greatest Common Factor of 50488 and 50508?

Greatest common factor (GCF) of 50488 and 50508 is 4.

GCF(50488,50508) = 4

We will now calculate the prime factors of 50488 and 50508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50488 and 50508.

How to find the GCF of 50488 and 50508?

We will first find the prime factorization of 50488 and 50508. After we will calculate the factors of 50488 and 50508 and find the biggest common factor number .

Step-1: Prime Factorization of 50488

Prime factors of 50488 are 2, 6311. Prime factorization of 50488 in exponential form is:

50488 = 2³ × 6311¹

Step-2: Prime Factorization of 50508

Prime factors of 50508 are 2, 3, 23, 61. Prime factorization of 50508 in exponential form is:

50508 = 2² × 3² × 23¹ × 61¹

Step-3: Factors of 50488

List of positive integer factors of 50488 that divides 50488 without a remainder.

1, 2, 4, 8, 6311, 12622, 25244

Step-4: Factors of 50508

List of positive integer factors of 50508 that divides 50488 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 61, 69, 92, 122, 138, 183, 207, 244, 276, 366, 414, 549, 732, 828, 1098, 1403, 2196, 2806, 4209, 5612, 8418, 12627, 16836, 25254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50488 and 50508. The biggest common factor number is the GCF number.
So the greatest common factor 50488 and 50508 is 4.

Also check out the Least Common Multiple of 50488 and 50508