What is the Greatest Common Factor of 50496 and 50516?

Greatest common factor (GCF) of 50496 and 50516 is 4.

GCF(50496,50516) = 4

We will now calculate the prime factors of 50496 and 50516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50496 and 50516.

How to find the GCF of 50496 and 50516?

We will first find the prime factorization of 50496 and 50516. After we will calculate the factors of 50496 and 50516 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 50516

Prime factors of 50516 are 2, 73, 173. Prime factorization of 50516 in exponential form is:

50516 = 2² × 73¹ × 173¹

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 50516

List of positive integer factors of 50516 that divides 50496 without a remainder.

1, 2, 4, 73, 146, 173, 292, 346, 692, 12629, 25258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50496 and 50516. The biggest common factor number is the GCF number.
So the greatest common factor 50496 and 50516 is 4.

Also check out the Least Common Multiple of 50496 and 50516