What is the Greatest Common Factor of 83499 and 83509?

Greatest common factor (GCF) of 83499 and 83509 is 1.

GCF(83499,83509) = 1

We will now calculate the prime factors of 83499 and 83509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83499 and 83509.

How to find the GCF of 83499 and 83509?

We will first find the prime factorization of 83499 and 83509. After we will calculate the factors of 83499 and 83509 and find the biggest common factor number .

Step-1: Prime Factorization of 83499

Prime factors of 83499 are 3, 13, 2141. Prime factorization of 83499 in exponential form is:

83499 = 3¹ × 13¹ × 2141¹

Step-2: Prime Factorization of 83509

Prime factors of 83509 are 37, 61. Prime factorization of 83509 in exponential form is:

83509 = 37² × 61¹

Step-3: Factors of 83499

List of positive integer factors of 83499 that divides 83499 without a remainder.

1, 3, 13, 39, 2141, 6423, 27833

Step-4: Factors of 83509

List of positive integer factors of 83509 that divides 83499 without a remainder.

1, 37, 61, 1369, 2257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83499 and 83509. The biggest common factor number is the GCF number.
So the greatest common factor 83499 and 83509 is 1.

Also check out the Least Common Multiple of 83499 and 83509