What is the Greatest Common Factor of 50949 and 50966?

Greatest common factor (GCF) of 50949 and 50966 is 17.

GCF(50949,50966) = 17

We will now calculate the prime factors of 50949 and 50966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50949 and 50966.

How to find the GCF of 50949 and 50966?

We will first find the prime factorization of 50949 and 50966. After we will calculate the factors of 50949 and 50966 and find the biggest common factor number .

Step-1: Prime Factorization of 50949

Prime factors of 50949 are 3, 17, 37. Prime factorization of 50949 in exponential form is:

50949 = 3⁴ × 17¹ × 37¹

Step-2: 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-3: Factors of 50949

List of positive integer factors of 50949 that divides 50949 without a remainder.

1, 3, 9, 17, 27, 37, 51, 81, 111, 153, 333, 459, 629, 999, 1377, 1887, 2997, 5661, 16983

Step-4: Factors of 50966

List of positive integer factors of 50966 that divides 50949 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50949 and 50966. The biggest common factor number is the GCF number.
So the greatest common factor 50949 and 50966 is 17.

Also check out the Least Common Multiple of 50949 and 50966