What is the Greatest Common Factor of 33471 and 33477?

Greatest common factor (GCF) of 33471 and 33477 is 3.

GCF(33471,33477) = 3

We will now calculate the prime factors of 33471 and 33477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33471 and 33477.

How to find the GCF of 33471 and 33477?

We will first find the prime factorization of 33471 and 33477. After we will calculate the factors of 33471 and 33477 and find the biggest common factor number .

Step-1: Prime Factorization of 33471

Prime factors of 33471 are 3, 3719. Prime factorization of 33471 in exponential form is:

33471 = 3² × 3719¹

Step-2: Prime Factorization of 33477

Prime factors of 33477 are 3, 11159. Prime factorization of 33477 in exponential form is:

33477 = 3¹ × 11159¹

Step-3: Factors of 33471

List of positive integer factors of 33471 that divides 33471 without a remainder.

1, 3, 9, 3719, 11157

Step-4: Factors of 33477

List of positive integer factors of 33477 that divides 33471 without a remainder.

1, 3, 11159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33471 and 33477. The biggest common factor number is the GCF number.
So the greatest common factor 33471 and 33477 is 3.

Also check out the Least Common Multiple of 33471 and 33477