What is the Greatest Common Factor of 50361 and 50379?

Greatest common factor (GCF) of 50361 and 50379 is 3.

GCF(50361,50379) = 3

We will now calculate the prime factors of 50361 and 50379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50361 and 50379.

How to find the GCF of 50361 and 50379?

We will first find the prime factorization of 50361 and 50379. After we will calculate the factors of 50361 and 50379 and find the biggest common factor number .

Step-1: Prime Factorization of 50361

Prime factors of 50361 are 3, 16787. Prime factorization of 50361 in exponential form is:

50361 = 3¹ × 16787¹

Step-2: Prime Factorization of 50379

Prime factors of 50379 are 3, 7, 2399. Prime factorization of 50379 in exponential form is:

50379 = 3¹ × 7¹ × 2399¹

Step-3: Factors of 50361

List of positive integer factors of 50361 that divides 50361 without a remainder.

1, 3, 16787

Step-4: Factors of 50379

List of positive integer factors of 50379 that divides 50361 without a remainder.

1, 3, 7, 21, 2399, 7197, 16793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50361 and 50379. The biggest common factor number is the GCF number.
So the greatest common factor 50361 and 50379 is 3.

Also check out the Least Common Multiple of 50361 and 50379