What is the Greatest Common Factor of 84471 and 84477?

Greatest common factor (GCF) of 84471 and 84477 is 3.

GCF(84471,84477) = 3

We will now calculate the prime factors of 84471 and 84477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84471 and 84477.

How to find the GCF of 84471 and 84477?

We will first find the prime factorization of 84471 and 84477. After we will calculate the factors of 84471 and 84477 and find the biggest common factor number .

Step-1: Prime Factorization of 84471

Prime factors of 84471 are 3, 37, 761. Prime factorization of 84471 in exponential form is:

84471 = 3¹ × 37¹ × 761¹

Step-2: Prime Factorization of 84477

Prime factors of 84477 are 3, 29, 971. Prime factorization of 84477 in exponential form is:

84477 = 3¹ × 29¹ × 971¹

Step-3: Factors of 84471

List of positive integer factors of 84471 that divides 84471 without a remainder.

1, 3, 37, 111, 761, 2283, 28157

Step-4: Factors of 84477

List of positive integer factors of 84477 that divides 84471 without a remainder.

1, 3, 29, 87, 971, 2913, 28159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84471 and 84477. The biggest common factor number is the GCF number.
So the greatest common factor 84471 and 84477 is 3.

Also check out the Least Common Multiple of 84471 and 84477