What is the Greatest Common Factor of 50397 and 50415?

Greatest common factor (GCF) of 50397 and 50415 is 3.

GCF(50397,50415) = 3

We will now calculate the prime factors of 50397 and 50415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50397 and 50415.

How to find the GCF of 50397 and 50415?

We will first find the prime factorization of 50397 and 50415. After we will calculate the factors of 50397 and 50415 and find the biggest common factor number .

Step-1: Prime Factorization of 50397

Prime factors of 50397 are 3, 107, 157. Prime factorization of 50397 in exponential form is:

50397 = 3¹ × 107¹ × 157¹

Step-2: Prime Factorization of 50415

Prime factors of 50415 are 3, 5, 3361. Prime factorization of 50415 in exponential form is:

50415 = 3¹ × 5¹ × 3361¹

Step-3: Factors of 50397

List of positive integer factors of 50397 that divides 50397 without a remainder.

1, 3, 107, 157, 321, 471, 16799

Step-4: Factors of 50415

List of positive integer factors of 50415 that divides 50397 without a remainder.

1, 3, 5, 15, 3361, 10083, 16805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50397 and 50415. The biggest common factor number is the GCF number.
So the greatest common factor 50397 and 50415 is 3.

Also check out the Least Common Multiple of 50397 and 50415