What is the Greatest Common Factor of 50880 and 50890?

Greatest common factor (GCF) of 50880 and 50890 is 10.

GCF(50880,50890) = 10

We will now calculate the prime factors of 50880 and 50890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50880 and 50890.

How to find the GCF of 50880 and 50890?

We will first find the prime factorization of 50880 and 50890. After we will calculate the factors of 50880 and 50890 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 50890

Prime factors of 50890 are 2, 5, 7, 727. Prime factorization of 50890 in exponential form is:

50890 = 2¹ × 5¹ × 7¹ × 727¹

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 50890

List of positive integer factors of 50890 that divides 50880 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 727, 1454, 3635, 5089, 7270, 10178, 25445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50880 and 50890. The biggest common factor number is the GCF number.
So the greatest common factor 50880 and 50890 is 10.

Also check out the Least Common Multiple of 50880 and 50890