What is the Greatest Common Factor of 84519 and 84537?

Greatest common factor (GCF) of 84519 and 84537 is 9.

GCF(84519,84537) = 9

We will now calculate the prime factors of 84519 and 84537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84519 and 84537.

How to find the GCF of 84519 and 84537?

We will first find the prime factorization of 84519 and 84537. After we will calculate the factors of 84519 and 84537 and find the biggest common factor number .

Step-1: Prime Factorization of 84519

Prime factors of 84519 are 3, 9391. Prime factorization of 84519 in exponential form is:

84519 = 3² × 9391¹

Step-2: Prime Factorization of 84537

Prime factors of 84537 are 3, 31, 101. Prime factorization of 84537 in exponential form is:

84537 = 3³ × 31¹ × 101¹

Step-3: Factors of 84519

List of positive integer factors of 84519 that divides 84519 without a remainder.

1, 3, 9, 9391, 28173

Step-4: Factors of 84537

List of positive integer factors of 84537 that divides 84519 without a remainder.

1, 3, 9, 27, 31, 93, 101, 279, 303, 837, 909, 2727, 3131, 9393, 28179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84519 and 84537. The biggest common factor number is the GCF number.
So the greatest common factor 84519 and 84537 is 9.

Also check out the Least Common Multiple of 84519 and 84537