What is the Greatest Common Factor of 83439 and 83454?

Greatest common factor (GCF) of 83439 and 83454 is 3.

GCF(83439,83454) = 3

We will now calculate the prime factors of 83439 and 83454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83439 and 83454.

How to find the GCF of 83439 and 83454?

We will first find the prime factorization of 83439 and 83454. After we will calculate the factors of 83439 and 83454 and find the biggest common factor number .

Step-1: Prime Factorization of 83439

Prime factors of 83439 are 3, 73, 127. Prime factorization of 83439 in exponential form is:

83439 = 3² × 73¹ × 127¹

Step-2: Prime Factorization of 83454

Prime factors of 83454 are 2, 3, 7, 1987. Prime factorization of 83454 in exponential form is:

83454 = 2¹ × 3¹ × 7¹ × 1987¹

Step-3: Factors of 83439

List of positive integer factors of 83439 that divides 83439 without a remainder.

1, 3, 9, 73, 127, 219, 381, 657, 1143, 9271, 27813

Step-4: Factors of 83454

List of positive integer factors of 83454 that divides 83439 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1987, 3974, 5961, 11922, 13909, 27818, 41727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83439 and 83454. The biggest common factor number is the GCF number.
So the greatest common factor 83439 and 83454 is 3.

Also check out the Least Common Multiple of 83439 and 83454