What is the Greatest Common Factor of 83415 and 83427?

Greatest common factor (GCF) of 83415 and 83427 is 3.

GCF(83415,83427) = 3

We will now calculate the prime factors of 83415 and 83427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83415 and 83427.

How to find the GCF of 83415 and 83427?

We will first find the prime factorization of 83415 and 83427. After we will calculate the factors of 83415 and 83427 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 83427

Prime factors of 83427 are 3, 27809. Prime factorization of 83427 in exponential form is:

83427 = 3¹ × 27809¹

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 83427

List of positive integer factors of 83427 that divides 83415 without a remainder.

1, 3, 27809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83415 and 83427. The biggest common factor number is the GCF number.
So the greatest common factor 83415 and 83427 is 3.

Also check out the Least Common Multiple of 83415 and 83427