What is the Greatest Common Factor of 50901 and 50907?

Greatest common factor (GCF) of 50901 and 50907 is 3.

GCF(50901,50907) = 3

We will now calculate the prime factors of 50901 and 50907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50901 and 50907.

How to find the GCF of 50901 and 50907?

We will first find the prime factorization of 50901 and 50907. After we will calculate the factors of 50901 and 50907 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50907

Prime factors of 50907 are 3, 71, 239. Prime factorization of 50907 in exponential form is:

50907 = 3¹ × 71¹ × 239¹

Step-3: Factors of 50901

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

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

Step-4: Factors of 50907

List of positive integer factors of 50907 that divides 50901 without a remainder.

1, 3, 71, 213, 239, 717, 16969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50901 and 50907. The biggest common factor number is the GCF number.
So the greatest common factor 50901 and 50907 is 3.

Also check out the Least Common Multiple of 50901 and 50907