What is the Greatest Common Factor of 83321 and 83335?

Greatest common factor (GCF) of 83321 and 83335 is 7.

GCF(83321,83335) = 7

We will now calculate the prime factors of 83321 and 83335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83321 and 83335.

How to find the GCF of 83321 and 83335?

We will first find the prime factorization of 83321 and 83335. After we will calculate the factors of 83321 and 83335 and find the biggest common factor number .

Step-1: Prime Factorization of 83321

Prime factors of 83321 are 7, 11903. Prime factorization of 83321 in exponential form is:

83321 = 7¹ × 11903¹

Step-2: Prime Factorization of 83335

Prime factors of 83335 are 5, 7, 2381. Prime factorization of 83335 in exponential form is:

83335 = 5¹ × 7¹ × 2381¹

Step-3: Factors of 83321

List of positive integer factors of 83321 that divides 83321 without a remainder.

1, 7, 11903

Step-4: Factors of 83335

List of positive integer factors of 83335 that divides 83321 without a remainder.

1, 5, 7, 35, 2381, 11905, 16667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83321 and 83335. The biggest common factor number is the GCF number.
So the greatest common factor 83321 and 83335 is 7.

Also check out the Least Common Multiple of 83321 and 83335