What is the Greatest Common Factor of 84453 and 84462?

Greatest common factor (GCF) of 84453 and 84462 is 3.

GCF(84453,84462) = 3

We will now calculate the prime factors of 84453 and 84462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84453 and 84462.

How to find the GCF of 84453 and 84462?

We will first find the prime factorization of 84453 and 84462. After we will calculate the factors of 84453 and 84462 and find the biggest common factor number .

Step-1: Prime Factorization of 84453

Prime factors of 84453 are 3, 28151. Prime factorization of 84453 in exponential form is:

84453 = 3¹ × 28151¹

Step-2: Prime Factorization of 84462

Prime factors of 84462 are 2, 3, 7, 2011. Prime factorization of 84462 in exponential form is:

84462 = 2¹ × 3¹ × 7¹ × 2011¹

Step-3: Factors of 84453

List of positive integer factors of 84453 that divides 84453 without a remainder.

1, 3, 28151

Step-4: Factors of 84462

List of positive integer factors of 84462 that divides 84453 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2011, 4022, 6033, 12066, 14077, 28154, 42231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84453 and 84462. The biggest common factor number is the GCF number.
So the greatest common factor 84453 and 84462 is 3.

Also check out the Least Common Multiple of 84453 and 84462