What is the Greatest Common Factor of 50958 and 50974?

Greatest common factor (GCF) of 50958 and 50974 is 2.

GCF(50958,50974) = 2

We will now calculate the prime factors of 50958 and 50974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50958 and 50974.

How to find the GCF of 50958 and 50974?

We will first find the prime factorization of 50958 and 50974. After we will calculate the factors of 50958 and 50974 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 50974

Prime factors of 50974 are 2, 7, 11, 331. Prime factorization of 50974 in exponential form is:

50974 = 2¹ × 7¹ × 11¹ × 331¹

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 50974

List of positive integer factors of 50974 that divides 50958 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 331, 662, 2317, 3641, 4634, 7282, 25487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50958 and 50974. The biggest common factor number is the GCF number.
So the greatest common factor 50958 and 50974 is 2.

Also check out the Least Common Multiple of 50958 and 50974