What is the Greatest Common Factor of 50547 and 50563?

Greatest common factor (GCF) of 50547 and 50563 is 1.

GCF(50547,50563) = 1

We will now calculate the prime factors of 50547 and 50563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50547 and 50563.

How to find the GCF of 50547 and 50563?

We will first find the prime factorization of 50547 and 50563. After we will calculate the factors of 50547 and 50563 and find the biggest common factor number .

Step-1: Prime Factorization of 50547

Prime factors of 50547 are 3, 7, 29, 83. Prime factorization of 50547 in exponential form is:

50547 = 3¹ × 7¹ × 29¹ × 83¹

Step-2: Prime Factorization of 50563

Prime factors of 50563 are 59, 857. Prime factorization of 50563 in exponential form is:

50563 = 59¹ × 857¹

Step-3: Factors of 50547

List of positive integer factors of 50547 that divides 50547 without a remainder.

1, 3, 7, 21, 29, 83, 87, 203, 249, 581, 609, 1743, 2407, 7221, 16849

Step-4: Factors of 50563

List of positive integer factors of 50563 that divides 50547 without a remainder.

1, 59, 857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50547 and 50563. The biggest common factor number is the GCF number.
So the greatest common factor 50547 and 50563 is 1.

Also check out the Least Common Multiple of 50547 and 50563