What is the Greatest Common Factor of 50891 and 50908?

Greatest common factor (GCF) of 50891 and 50908 is 1.

GCF(50891,50908) = 1

We will now calculate the prime factors of 50891 and 50908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50891 and 50908.

How to find the GCF of 50891 and 50908?

We will first find the prime factorization of 50891 and 50908. After we will calculate the factors of 50891 and 50908 and find the biggest common factor number .

Step-1: Prime Factorization of 50891

Prime factors of 50891 are 50891. Prime factorization of 50891 in exponential form is:

50891 = 50891¹

Step-2: 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-3: Factors of 50891

List of positive integer factors of 50891 that divides 50891 without a remainder.

Step-4: Factors of 50908

List of positive integer factors of 50908 that divides 50891 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50891 and 50908. The biggest common factor number is the GCF number.
So the greatest common factor 50891 and 50908 is 1.

Also check out the Least Common Multiple of 50891 and 50908