What is the Greatest Common Factor of 50966 and 50983?

Greatest common factor (GCF) of 50966 and 50983 is 17.

GCF(50966,50983) = 17

We will now calculate the prime factors of 50966 and 50983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50966 and 50983.

How to find the GCF of 50966 and 50983?

We will first find the prime factorization of 50966 and 50983. After we will calculate the factors of 50966 and 50983 and find the biggest common factor number .

Step-1: Prime Factorization of 50966

Prime factors of 50966 are 2, 17, 1499. Prime factorization of 50966 in exponential form is:

50966 = 2¹ × 17¹ × 1499¹

Step-2: Prime Factorization of 50983

Prime factors of 50983 are 17, 2999. Prime factorization of 50983 in exponential form is:

50983 = 17¹ × 2999¹

Step-3: Factors of 50966

List of positive integer factors of 50966 that divides 50966 without a remainder.

1, 2, 17, 34, 1499, 2998, 25483

Step-4: Factors of 50983

List of positive integer factors of 50983 that divides 50966 without a remainder.

1, 17, 2999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50966 and 50983. The biggest common factor number is the GCF number.
So the greatest common factor 50966 and 50983 is 17.

Also check out the Least Common Multiple of 50966 and 50983