What is the Greatest Common Factor of 50567 and 50578?

Greatest common factor (GCF) of 50567 and 50578 is 11.

GCF(50567,50578) = 11

We will now calculate the prime factors of 50567 and 50578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50567 and 50578.

How to find the GCF of 50567 and 50578?

We will first find the prime factorization of 50567 and 50578. After we will calculate the factors of 50567 and 50578 and find the biggest common factor number .

Step-1: Prime Factorization of 50567

Prime factors of 50567 are 11, 4597. Prime factorization of 50567 in exponential form is:

50567 = 11¹ × 4597¹

Step-2: 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-3: Factors of 50567

List of positive integer factors of 50567 that divides 50567 without a remainder.

1, 11, 4597

Step-4: Factors of 50578

List of positive integer factors of 50578 that divides 50567 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50567 and 50578. The biggest common factor number is the GCF number.
So the greatest common factor 50567 and 50578 is 11.

Also check out the Least Common Multiple of 50567 and 50578