What is the Greatest Common Factor of 50886 and 50904?

Greatest common factor (GCF) of 50886 and 50904 is 18.

GCF(50886,50904) = 18

We will now calculate the prime factors of 50886 and 50904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50886 and 50904.

How to find the GCF of 50886 and 50904?

We will first find the prime factorization of 50886 and 50904. After we will calculate the factors of 50886 and 50904 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50904

Prime factors of 50904 are 2, 3, 7, 101. Prime factorization of 50904 in exponential form is:

50904 = 2³ × 3² × 7¹ × 101¹

Step-3: Factors of 50886

List of positive integer factors of 50886 that divides 50886 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

Step-4: Factors of 50904

List of positive integer factors of 50904 that divides 50886 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 101, 126, 168, 202, 252, 303, 404, 504, 606, 707, 808, 909, 1212, 1414, 1818, 2121, 2424, 2828, 3636, 4242, 5656, 6363, 7272, 8484, 12726, 16968, 25452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50886 and 50904. The biggest common factor number is the GCF number.
So the greatest common factor 50886 and 50904 is 18.

Also check out the Least Common Multiple of 50886 and 50904