What is the Greatest Common Factor of 50480 and 50496?

Greatest common factor (GCF) of 50480 and 50496 is 16.

GCF(50480,50496) = 16

We will now calculate the prime factors of 50480 and 50496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50480 and 50496.

How to find the GCF of 50480 and 50496?

We will first find the prime factorization of 50480 and 50496. After we will calculate the factors of 50480 and 50496 and find the biggest common factor number .

Step-1: Prime Factorization of 50480

Prime factors of 50480 are 2, 5, 631. Prime factorization of 50480 in exponential form is:

50480 = 2⁴ × 5¹ × 631¹

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 50480

List of positive integer factors of 50480 that divides 50480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 631, 1262, 2524, 3155, 5048, 6310, 10096, 12620, 25240

Step-4: Factors of 50496

List of positive integer factors of 50496 that divides 50480 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 50480 and 50496. The biggest common factor number is the GCF number.
So the greatest common factor 50480 and 50496 is 16.

Also check out the Least Common Multiple of 50480 and 50496