What is the Greatest Common Factor of 50496 and 50508?

Greatest common factor (GCF) of 50496 and 50508 is 12.

GCF(50496,50508) = 12

We will now calculate the prime factors of 50496 and 50508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50496 and 50508.

How to find the GCF of 50496 and 50508?

We will first find the prime factorization of 50496 and 50508. After we will calculate the factors of 50496 and 50508 and find the biggest common factor number .

Step-1: Prime Factorization of 50496

Prime factors of 50496 are 2, 3, 263. Prime factorization of 50496 in exponential form is:

50496 = 2⁶ × 3¹ × 263¹

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 50496

List of positive integer factors of 50496 that divides 50496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 263, 526, 789, 1052, 1578, 2104, 3156, 4208, 6312, 8416, 12624, 16832, 25248

Step-4: Factors of 50508

List of positive integer factors of 50508 that divides 50496 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 50496 and 50508. The biggest common factor number is the GCF number.
So the greatest common factor 50496 and 50508 is 12.

Also check out the Least Common Multiple of 50496 and 50508