What is the Greatest Common Factor of 50574 and 50580?

Greatest common factor (GCF) of 50574 and 50580 is 6.

GCF(50574,50580) = 6

We will now calculate the prime factors of 50574 and 50580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50574 and 50580.

How to find the GCF of 50574 and 50580?

We will first find the prime factorization of 50574 and 50580. After we will calculate the factors of 50574 and 50580 and find the biggest common factor number .

Step-1: Prime Factorization of 50574

Prime factors of 50574 are 2, 3, 8429. Prime factorization of 50574 in exponential form is:

50574 = 2¹ × 3¹ × 8429¹

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 50574

List of positive integer factors of 50574 that divides 50574 without a remainder.

1, 2, 3, 6, 8429, 16858, 25287

Step-4: Factors of 50580

List of positive integer factors of 50580 that divides 50574 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 50574 and 50580. The biggest common factor number is the GCF number.
So the greatest common factor 50574 and 50580 is 6.

Also check out the Least Common Multiple of 50574 and 50580