What is the Greatest Common Factor of 50914 and 50924?

Greatest common factor (GCF) of 50914 and 50924 is 2.

GCF(50914,50924) = 2

We will now calculate the prime factors of 50914 and 50924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50914 and 50924.

How to find the GCF of 50914 and 50924?

We will first find the prime factorization of 50914 and 50924. After we will calculate the factors of 50914 and 50924 and find the biggest common factor number .

Step-1: Prime Factorization of 50914

Prime factors of 50914 are 2, 25457. Prime factorization of 50914 in exponential form is:

50914 = 2¹ × 25457¹

Step-2: Prime Factorization of 50924

Prime factors of 50924 are 2, 29, 439. Prime factorization of 50924 in exponential form is:

50924 = 2² × 29¹ × 439¹

Step-3: Factors of 50914

List of positive integer factors of 50914 that divides 50914 without a remainder.

1, 2, 25457

Step-4: Factors of 50924

List of positive integer factors of 50924 that divides 50914 without a remainder.

1, 2, 4, 29, 58, 116, 439, 878, 1756, 12731, 25462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50914 and 50924. The biggest common factor number is the GCF number.
So the greatest common factor 50914 and 50924 is 2.

Also check out the Least Common Multiple of 50914 and 50924