What is the Greatest Common Factor of 50870 and 50880?

Greatest common factor (GCF) of 50870 and 50880 is 10.

GCF(50870,50880) = 10

We will now calculate the prime factors of 50870 and 50880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50870 and 50880.

How to find the GCF of 50870 and 50880?

We will first find the prime factorization of 50870 and 50880. After we will calculate the factors of 50870 and 50880 and find the biggest common factor number .

Step-1: Prime Factorization of 50870

Prime factors of 50870 are 2, 5, 5087. Prime factorization of 50870 in exponential form is:

50870 = 2¹ × 5¹ × 5087¹

Step-2: 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-3: Factors of 50870

List of positive integer factors of 50870 that divides 50870 without a remainder.

1, 2, 5, 10, 5087, 10174, 25435

Step-4: Factors of 50880

List of positive integer factors of 50880 that divides 50870 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50870 and 50880. The biggest common factor number is the GCF number.
So the greatest common factor 50870 and 50880 is 10.

Also check out the Least Common Multiple of 50870 and 50880