What is the Greatest Common Factor of 50908 and 50914?

Greatest common factor (GCF) of 50908 and 50914 is 2.

GCF(50908,50914) = 2

We will now calculate the prime factors of 50908 and 50914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50908 and 50914.

How to find the GCF of 50908 and 50914?

We will first find the prime factorization of 50908 and 50914. After we will calculate the factors of 50908 and 50914 and find the biggest common factor number .

Step-1: Prime Factorization of 50908

Prime factors of 50908 are 2, 11, 13, 89. Prime factorization of 50908 in exponential form is:

50908 = 2² × 11¹ × 13¹ × 89¹

Step-2: Prime Factorization of 50914

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

50914 = 2¹ × 25457¹

Step-3: Factors of 50908

List of positive integer factors of 50908 that divides 50908 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 89, 143, 178, 286, 356, 572, 979, 1157, 1958, 2314, 3916, 4628, 12727, 25454

Step-4: Factors of 50914

List of positive integer factors of 50914 that divides 50908 without a remainder.

1, 2, 25457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50908 and 50914. The biggest common factor number is the GCF number.
So the greatest common factor 50908 and 50914 is 2.

Also check out the Least Common Multiple of 50908 and 50914