What is the Greatest Common Factor of 47457 and 47469?

Greatest common factor (GCF) of 47457 and 47469 is 3.

GCF(47457,47469) = 3

We will now calculate the prime factors of 47457 and 47469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47457 and 47469.

How to find the GCF of 47457 and 47469?

We will first find the prime factorization of 47457 and 47469. After we will calculate the factors of 47457 and 47469 and find the biggest common factor number .

Step-1: Prime Factorization of 47457

Prime factors of 47457 are 3, 5273. Prime factorization of 47457 in exponential form is:

47457 = 3² × 5273¹

Step-2: Prime Factorization of 47469

Prime factors of 47469 are 3, 15823. Prime factorization of 47469 in exponential form is:

47469 = 3¹ × 15823¹

Step-3: Factors of 47457

List of positive integer factors of 47457 that divides 47457 without a remainder.

1, 3, 9, 5273, 15819

Step-4: Factors of 47469

List of positive integer factors of 47469 that divides 47457 without a remainder.

1, 3, 15823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47457 and 47469. The biggest common factor number is the GCF number.
So the greatest common factor 47457 and 47469 is 3.

Also check out the Least Common Multiple of 47457 and 47469