What is the Greatest Common Factor of 47538 and 47553?

Greatest common factor (GCF) of 47538 and 47553 is 3.

GCF(47538,47553) = 3

We will now calculate the prime factors of 47538 and 47553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47538 and 47553.

How to find the GCF of 47538 and 47553?

We will first find the prime factorization of 47538 and 47553. After we will calculate the factors of 47538 and 47553 and find the biggest common factor number .

Step-1: Prime Factorization of 47538

Prime factors of 47538 are 2, 3, 19, 139. Prime factorization of 47538 in exponential form is:

47538 = 2¹ × 3² × 19¹ × 139¹

Step-2: 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-3: Factors of 47538

List of positive integer factors of 47538 that divides 47538 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 139, 171, 278, 342, 417, 834, 1251, 2502, 2641, 5282, 7923, 15846, 23769

Step-4: Factors of 47553

List of positive integer factors of 47553 that divides 47538 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47538 and 47553. The biggest common factor number is the GCF number.
So the greatest common factor 47538 and 47553 is 3.

Also check out the Least Common Multiple of 47538 and 47553