What is the Greatest Common Factor of 83415 and 83433?

Greatest common factor (GCF) of 83415 and 83433 is 3.

GCF(83415,83433) = 3

We will now calculate the prime factors of 83415 and 83433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83415 and 83433.

How to find the GCF of 83415 and 83433?

We will first find the prime factorization of 83415 and 83433. After we will calculate the factors of 83415 and 83433 and find the biggest common factor number .

Step-1: Prime Factorization of 83415

Prime factors of 83415 are 3, 5, 67, 83. Prime factorization of 83415 in exponential form is:

83415 = 3¹ × 5¹ × 67¹ × 83¹

Step-2: Prime Factorization of 83433

Prime factors of 83433 are 3, 7, 29, 137. Prime factorization of 83433 in exponential form is:

83433 = 3¹ × 7¹ × 29¹ × 137¹

Step-3: Factors of 83415

List of positive integer factors of 83415 that divides 83415 without a remainder.

1, 3, 5, 15, 67, 83, 201, 249, 335, 415, 1005, 1245, 5561, 16683, 27805

Step-4: Factors of 83433

List of positive integer factors of 83433 that divides 83415 without a remainder.

1, 3, 7, 21, 29, 87, 137, 203, 411, 609, 959, 2877, 3973, 11919, 27811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83415 and 83433. The biggest common factor number is the GCF number.
So the greatest common factor 83415 and 83433 is 3.

Also check out the Least Common Multiple of 83415 and 83433