What is the Greatest Common Factor of 50547 and 50561?

Greatest common factor (GCF) of 50547 and 50561 is 7.

GCF(50547,50561) = 7

We will now calculate the prime factors of 50547 and 50561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50547 and 50561.

How to find the GCF of 50547 and 50561?

We will first find the prime factorization of 50547 and 50561. After we will calculate the factors of 50547 and 50561 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 50561

Prime factors of 50561 are 7, 31, 233. Prime factorization of 50561 in exponential form is:

50561 = 7¹ × 31¹ × 233¹

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 50561

List of positive integer factors of 50561 that divides 50547 without a remainder.

1, 7, 31, 217, 233, 1631, 7223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50547 and 50561. The biggest common factor number is the GCF number.
So the greatest common factor 50547 and 50561 is 7.

Also check out the Least Common Multiple of 50547 and 50561