What is the Greatest Common Factor of 47553 and 47561?

Greatest common factor (GCF) of 47553 and 47561 is 1.

GCF(47553,47561) = 1

We will now calculate the prime factors of 47553 and 47561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47553 and 47561.

How to find the GCF of 47553 and 47561?

We will first find the prime factorization of 47553 and 47561. After we will calculate the factors of 47553 and 47561 and find the biggest common factor number .

Step-1: Prime Factorization of 47553

Prime factors of 47553 are 3, 11, 131. Prime factorization of 47553 in exponential form is:

47553 = 3¹ × 11² × 131¹

Step-2: Prime Factorization of 47561

Prime factors of 47561 are 199, 239. Prime factorization of 47561 in exponential form is:

47561 = 199¹ × 239¹

Step-3: Factors of 47553

List of positive integer factors of 47553 that divides 47553 without a remainder.

1, 3, 11, 33, 121, 131, 363, 393, 1441, 4323, 15851

Step-4: Factors of 47561

List of positive integer factors of 47561 that divides 47553 without a remainder.

1, 199, 239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47553 and 47561. The biggest common factor number is the GCF number.
So the greatest common factor 47553 and 47561 is 1.

Also check out the Least Common Multiple of 47553 and 47561