What is the Greatest Common Factor of 50908 and 50919?

Greatest common factor (GCF) of 50908 and 50919 is 11.

GCF(50908,50919) = 11

We will now calculate the prime factors of 50908 and 50919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50908 and 50919.

How to find the GCF of 50908 and 50919?

We will first find the prime factorization of 50908 and 50919. After we will calculate the factors of 50908 and 50919 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 50919

Prime factors of 50919 are 3, 11, 1543. Prime factorization of 50919 in exponential form is:

50919 = 3¹ × 11¹ × 1543¹

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 50919

List of positive integer factors of 50919 that divides 50908 without a remainder.

1, 3, 11, 33, 1543, 4629, 16973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50908 and 50919. The biggest common factor number is the GCF number.
So the greatest common factor 50908 and 50919 is 11.

Also check out the Least Common Multiple of 50908 and 50919