What is the Greatest Common Factor of 50580 and 50595?

Greatest common factor (GCF) of 50580 and 50595 is 15.

GCF(50580,50595) = 15

We will now calculate the prime factors of 50580 and 50595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50580 and 50595.

How to find the GCF of 50580 and 50595?

We will first find the prime factorization of 50580 and 50595. After we will calculate the factors of 50580 and 50595 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50595

Prime factors of 50595 are 3, 5, 3373. Prime factorization of 50595 in exponential form is:

50595 = 3¹ × 5¹ × 3373¹

Step-3: Factors of 50580

List of positive integer factors of 50580 that divides 50580 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

Step-4: Factors of 50595

List of positive integer factors of 50595 that divides 50580 without a remainder.

1, 3, 5, 15, 3373, 10119, 16865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50580 and 50595. The biggest common factor number is the GCF number.
So the greatest common factor 50580 and 50595 is 15.

Also check out the Least Common Multiple of 50580 and 50595