What is the Greatest Common Factor of 50875 and 50886?

Greatest common factor (GCF) of 50875 and 50886 is 11.

GCF(50875,50886) = 11

We will now calculate the prime factors of 50875 and 50886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50875 and 50886.

How to find the GCF of 50875 and 50886?

We will first find the prime factorization of 50875 and 50886. After we will calculate the factors of 50875 and 50886 and find the biggest common factor number .

Step-1: Prime Factorization of 50875

Prime factors of 50875 are 5, 11, 37. Prime factorization of 50875 in exponential form is:

50875 = 5³ × 11¹ × 37¹

Step-2: Prime Factorization of 50886

Prime factors of 50886 are 2, 3, 11, 257. Prime factorization of 50886 in exponential form is:

50886 = 2¹ × 3² × 11¹ × 257¹

Step-3: Factors of 50875

List of positive integer factors of 50875 that divides 50875 without a remainder.

1, 5, 11, 25, 37, 55, 125, 185, 275, 407, 925, 1375, 2035, 4625, 10175

Step-4: Factors of 50886

List of positive integer factors of 50886 that divides 50875 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 257, 514, 771, 1542, 2313, 2827, 4626, 5654, 8481, 16962, 25443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50875 and 50886. The biggest common factor number is the GCF number.
So the greatest common factor 50875 and 50886 is 11.

Also check out the Least Common Multiple of 50875 and 50886