What is the Greatest Common Factor of 50565 and 50583?

Greatest common factor (GCF) of 50565 and 50583 is 3.

GCF(50565,50583) = 3

We will now calculate the prime factors of 50565 and 50583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50565 and 50583.

How to find the GCF of 50565 and 50583?

We will first find the prime factorization of 50565 and 50583. After we will calculate the factors of 50565 and 50583 and find the biggest common factor number .

Step-1: Prime Factorization of 50565

Prime factors of 50565 are 3, 5, 3371. Prime factorization of 50565 in exponential form is:

50565 = 3¹ × 5¹ × 3371¹

Step-2: Prime Factorization of 50583

Prime factors of 50583 are 3, 13, 1297. Prime factorization of 50583 in exponential form is:

50583 = 3¹ × 13¹ × 1297¹

Step-3: Factors of 50565

List of positive integer factors of 50565 that divides 50565 without a remainder.

1, 3, 5, 15, 3371, 10113, 16855

Step-4: Factors of 50583

List of positive integer factors of 50583 that divides 50565 without a remainder.

1, 3, 13, 39, 1297, 3891, 16861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50565 and 50583. The biggest common factor number is the GCF number.
So the greatest common factor 50565 and 50583 is 3.

Also check out the Least Common Multiple of 50565 and 50583