What is the Greatest Common Factor of 50886 and 50897?

Greatest common factor (GCF) of 50886 and 50897 is 11.

GCF(50886,50897) = 11

We will now calculate the prime factors of 50886 and 50897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50886 and 50897.

How to find the GCF of 50886 and 50897?

We will first find the prime factorization of 50886 and 50897. After we will calculate the factors of 50886 and 50897 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 50897

Prime factors of 50897 are 7, 11, 661. Prime factorization of 50897 in exponential form is:

50897 = 7¹ × 11¹ × 661¹

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 50897

List of positive integer factors of 50897 that divides 50886 without a remainder.

1, 7, 11, 77, 661, 4627, 7271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50886 and 50897. The biggest common factor number is the GCF number.
So the greatest common factor 50886 and 50897 is 11.

Also check out the Least Common Multiple of 50886 and 50897