What is the Greatest Common Factor of 83505 and 83513?

Greatest common factor (GCF) of 83505 and 83513 is 1.

GCF(83505,83513) = 1

We will now calculate the prime factors of 83505 and 83513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83505 and 83513.

How to find the GCF of 83505 and 83513?

We will first find the prime factorization of 83505 and 83513. After we will calculate the factors of 83505 and 83513 and find the biggest common factor number .

Step-1: Prime Factorization of 83505

Prime factors of 83505 are 3, 5, 19, 293. Prime factorization of 83505 in exponential form is:

83505 = 3¹ × 5¹ × 19¹ × 293¹

Step-2: Prime Factorization of 83513

Prime factors of 83513 are 23, 3631. Prime factorization of 83513 in exponential form is:

83513 = 23¹ × 3631¹

Step-3: Factors of 83505

List of positive integer factors of 83505 that divides 83505 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 293, 879, 1465, 4395, 5567, 16701, 27835

Step-4: Factors of 83513

List of positive integer factors of 83513 that divides 83505 without a remainder.

1, 23, 3631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83505 and 83513. The biggest common factor number is the GCF number.
So the greatest common factor 83505 and 83513 is 1.

Also check out the Least Common Multiple of 83505 and 83513