What is the Greatest Common Factor of 50496 and 50505?

Greatest common factor (GCF) of 50496 and 50505 is 3.

GCF(50496,50505) = 3

We will now calculate the prime factors of 50496 and 50505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50496 and 50505.

How to find the GCF of 50496 and 50505?

We will first find the prime factorization of 50496 and 50505. After we will calculate the factors of 50496 and 50505 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 50505

Prime factors of 50505 are 3, 5, 7, 13, 37. Prime factorization of 50505 in exponential form is:

50505 = 3¹ × 5¹ × 7¹ × 13¹ × 37¹

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 50505

List of positive integer factors of 50505 that divides 50496 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 37, 39, 65, 91, 105, 111, 185, 195, 259, 273, 455, 481, 555, 777, 1295, 1365, 1443, 2405, 3367, 3885, 7215, 10101, 16835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50496 and 50505. The biggest common factor number is the GCF number.
So the greatest common factor 50496 and 50505 is 3.

Also check out the Least Common Multiple of 50496 and 50505