What is the Greatest Common Factor of 84567 and 84576?

Greatest common factor (GCF) of 84567 and 84576 is 3.

GCF(84567,84576) = 3

We will now calculate the prime factors of 84567 and 84576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84567 and 84576.

How to find the GCF of 84567 and 84576?

We will first find the prime factorization of 84567 and 84576. After we will calculate the factors of 84567 and 84576 and find the biggest common factor number .

Step-1: Prime Factorization of 84567

Prime factors of 84567 are 3, 7, 4027. Prime factorization of 84567 in exponential form is:

84567 = 3¹ × 7¹ × 4027¹

Step-2: Prime Factorization of 84576

Prime factors of 84576 are 2, 3, 881. Prime factorization of 84576 in exponential form is:

84576 = 2⁵ × 3¹ × 881¹

Step-3: Factors of 84567

List of positive integer factors of 84567 that divides 84567 without a remainder.

1, 3, 7, 21, 4027, 12081, 28189

Step-4: Factors of 84576

List of positive integer factors of 84576 that divides 84567 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 881, 1762, 2643, 3524, 5286, 7048, 10572, 14096, 21144, 28192, 42288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84567 and 84576. The biggest common factor number is the GCF number.
So the greatest common factor 84567 and 84576 is 3.

Also check out the Least Common Multiple of 84567 and 84576