What is the Greatest Common Factor of 50958 and 50967?

Greatest common factor (GCF) of 50958 and 50967 is 9.

GCF(50958,50967) = 9

We will now calculate the prime factors of 50958 and 50967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50958 and 50967.

How to find the GCF of 50958 and 50967?

We will first find the prime factorization of 50958 and 50967. After we will calculate the factors of 50958 and 50967 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50967

Prime factors of 50967 are 3, 7, 809. Prime factorization of 50967 in exponential form is:

50967 = 3² × 7¹ × 809¹

Step-3: Factors of 50958

List of positive integer factors of 50958 that divides 50958 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

Step-4: Factors of 50967

List of positive integer factors of 50967 that divides 50958 without a remainder.

1, 3, 7, 9, 21, 63, 809, 2427, 5663, 7281, 16989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50958 and 50967. The biggest common factor number is the GCF number.
So the greatest common factor 50958 and 50967 is 9.

Also check out the Least Common Multiple of 50958 and 50967