What is the Greatest Common Factor of 83509 and 83516?

Greatest common factor (GCF) of 83509 and 83516 is 1.

GCF(83509,83516) = 1

We will now calculate the prime factors of 83509 and 83516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83509 and 83516.

How to find the GCF of 83509 and 83516?

We will first find the prime factorization of 83509 and 83516. After we will calculate the factors of 83509 and 83516 and find the biggest common factor number .

Step-1: Prime Factorization of 83509

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

83509 = 37² × 61¹

Step-2: Prime Factorization of 83516

Prime factors of 83516 are 2, 20879. Prime factorization of 83516 in exponential form is:

83516 = 2² × 20879¹

Step-3: Factors of 83509

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

1, 37, 61, 1369, 2257

Step-4: Factors of 83516

List of positive integer factors of 83516 that divides 83509 without a remainder.

1, 2, 4, 20879, 41758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83509 and 83516. The biggest common factor number is the GCF number.
So the greatest common factor 83509 and 83516 is 1.

Also check out the Least Common Multiple of 83509 and 83516