What is the Greatest Common Factor of 50565 and 50580?

Greatest common factor (GCF) of 50565 and 50580 is 15.

GCF(50565,50580) = 15

We will now calculate the prime factors of 50565 and 50580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50565 and 50580.

How to find the GCF of 50565 and 50580?

We will first find the prime factorization of 50565 and 50580. After we will calculate the factors of 50565 and 50580 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 50580

Prime factors of 50580 are 2, 3, 5, 281. Prime factorization of 50580 in exponential form is:

50580 = 2² × 3² × 5¹ × 281¹

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 50580

List of positive integer factors of 50580 that divides 50565 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 281, 562, 843, 1124, 1405, 1686, 2529, 2810, 3372, 4215, 5058, 5620, 8430, 10116, 12645, 16860, 25290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50565 and 50580. The biggest common factor number is the GCF number.
So the greatest common factor 50565 and 50580 is 15.

Also check out the Least Common Multiple of 50565 and 50580