What is the Greatest Common Factor of 50880 and 50896?

Greatest common factor (GCF) of 50880 and 50896 is 16.

GCF(50880,50896) = 16

We will now calculate the prime factors of 50880 and 50896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50880 and 50896.

How to find the GCF of 50880 and 50896?

We will first find the prime factorization of 50880 and 50896. After we will calculate the factors of 50880 and 50896 and find the biggest common factor number .

Step-1: Prime Factorization of 50880

Prime factors of 50880 are 2, 3, 5, 53. Prime factorization of 50880 in exponential form is:

50880 = 2⁶ × 3¹ × 5¹ × 53¹

Step-2: Prime Factorization of 50896

Prime factors of 50896 are 2, 3181. Prime factorization of 50896 in exponential form is:

50896 = 2⁴ × 3181¹

Step-3: Factors of 50880

List of positive integer factors of 50880 that divides 50880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 53, 60, 64, 80, 96, 106, 120, 159, 160, 192, 212, 240, 265, 318, 320, 424, 480, 530, 636, 795, 848, 960, 1060, 1272, 1590, 1696, 2120, 2544, 3180, 3392, 4240, 5088, 6360, 8480, 10176, 12720, 16960, 25440

Step-4: Factors of 50896

List of positive integer factors of 50896 that divides 50880 without a remainder.

1, 2, 4, 8, 16, 3181, 6362, 12724, 25448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50880 and 50896. The biggest common factor number is the GCF number.
So the greatest common factor 50880 and 50896 is 16.

Also check out the Least Common Multiple of 50880 and 50896