What is the Greatest Common Factor of 50908 and 50921?

Greatest common factor (GCF) of 50908 and 50921 is 13.

GCF(50908,50921) = 13

We will now calculate the prime factors of 50908 and 50921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50908 and 50921.

How to find the GCF of 50908 and 50921?

We will first find the prime factorization of 50908 and 50921. After we will calculate the factors of 50908 and 50921 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 50921

Prime factors of 50921 are 13, 3917. Prime factorization of 50921 in exponential form is:

50921 = 13¹ × 3917¹

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 50921

List of positive integer factors of 50921 that divides 50908 without a remainder.

1, 13, 3917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50908 and 50921. The biggest common factor number is the GCF number.
So the greatest common factor 50908 and 50921 is 13.

Also check out the Least Common Multiple of 50908 and 50921