What is the Greatest Common Factor of 50484 and 50496?

Greatest common factor (GCF) of 50484 and 50496 is 12.

GCF(50484,50496) = 12

We will now calculate the prime factors of 50484 and 50496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50484 and 50496.

How to find the GCF of 50484 and 50496?

We will first find the prime factorization of 50484 and 50496. After we will calculate the factors of 50484 and 50496 and find the biggest common factor number .

Step-1: Prime Factorization of 50484

Prime factors of 50484 are 2, 3, 7, 601. Prime factorization of 50484 in exponential form is:

50484 = 2² × 3¹ × 7¹ × 601¹

Step-2: 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-3: Factors of 50484

List of positive integer factors of 50484 that divides 50484 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 601, 1202, 1803, 2404, 3606, 4207, 7212, 8414, 12621, 16828, 25242

Step-4: Factors of 50496

List of positive integer factors of 50496 that divides 50484 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50484 and 50496. The biggest common factor number is the GCF number.
So the greatest common factor 50484 and 50496 is 12.

Also check out the Least Common Multiple of 50484 and 50496