What is the Greatest Common Factor of 50882 and 50901?

Greatest common factor (GCF) of 50882 and 50901 is 19.

GCF(50882,50901) = 19

We will now calculate the prime factors of 50882 and 50901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50882 and 50901.

How to find the GCF of 50882 and 50901?

We will first find the prime factorization of 50882 and 50901. After we will calculate the factors of 50882 and 50901 and find the biggest common factor number .

Step-1: Prime Factorization of 50882

Prime factors of 50882 are 2, 13, 19, 103. Prime factorization of 50882 in exponential form is:

50882 = 2¹ × 13¹ × 19¹ × 103¹

Step-2: Prime Factorization of 50901

Prime factors of 50901 are 3, 19, 47. Prime factorization of 50901 in exponential form is:

50901 = 3¹ × 19² × 47¹

Step-3: Factors of 50882

List of positive integer factors of 50882 that divides 50882 without a remainder.

1, 2, 13, 19, 26, 38, 103, 206, 247, 494, 1339, 1957, 2678, 3914, 25441

Step-4: Factors of 50901

List of positive integer factors of 50901 that divides 50882 without a remainder.

1, 3, 19, 47, 57, 141, 361, 893, 1083, 2679, 16967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50882 and 50901. The biggest common factor number is the GCF number.
So the greatest common factor 50882 and 50901 is 19.

Also check out the Least Common Multiple of 50882 and 50901