What is the Greatest Common Factor of 50949 and 50958?

Greatest common factor (GCF) of 50949 and 50958 is 9.

GCF(50949,50958) = 9

We will now calculate the prime factors of 50949 and 50958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50949 and 50958.

How to find the GCF of 50949 and 50958?

We will first find the prime factorization of 50949 and 50958. After we will calculate the factors of 50949 and 50958 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 50958

Prime factors of 50958 are 2, 3, 19, 149. Prime factorization of 50958 in exponential form is:

50958 = 2¹ × 3² × 19¹ × 149¹

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 50958

List of positive integer factors of 50958 that divides 50949 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 149, 171, 298, 342, 447, 894, 1341, 2682, 2831, 5662, 8493, 16986, 25479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50949 and 50958. The biggest common factor number is the GCF number.
So the greatest common factor 50949 and 50958 is 9.

Also check out the Least Common Multiple of 50949 and 50958