What is the Greatest Common Factor of 50578 and 50590?

Greatest common factor (GCF) of 50578 and 50590 is 2.

GCF(50578,50590) = 2

We will now calculate the prime factors of 50578 and 50590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50578 and 50590.

How to find the GCF of 50578 and 50590?

We will first find the prime factorization of 50578 and 50590. After we will calculate the factors of 50578 and 50590 and find the biggest common factor number .

Step-1: Prime Factorization of 50578

Prime factors of 50578 are 2, 11, 19. Prime factorization of 50578 in exponential form is:

50578 = 2¹ × 11³ × 19¹

Step-2: Prime Factorization of 50590

Prime factors of 50590 are 2, 5, 5059. Prime factorization of 50590 in exponential form is:

50590 = 2¹ × 5¹ × 5059¹

Step-3: Factors of 50578

List of positive integer factors of 50578 that divides 50578 without a remainder.

1, 2, 11, 19, 22, 38, 121, 209, 242, 418, 1331, 2299, 2662, 4598, 25289

Step-4: Factors of 50590

List of positive integer factors of 50590 that divides 50578 without a remainder.

1, 2, 5, 10, 5059, 10118, 25295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50578 and 50590. The biggest common factor number is the GCF number.
So the greatest common factor 50578 and 50590 is 2.

Also check out the Least Common Multiple of 50578 and 50590