What is the Greatest Common Factor of 35433 and 35439?

Greatest common factor (GCF) of 35433 and 35439 is 3.

GCF(35433,35439) = 3

We will now calculate the prime factors of 35433 and 35439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35433 and 35439.

How to find the GCF of 35433 and 35439?

We will first find the prime factorization of 35433 and 35439. After we will calculate the factors of 35433 and 35439 and find the biggest common factor number .

Step-1: Prime Factorization of 35433

Prime factors of 35433 are 3, 31, 127. Prime factorization of 35433 in exponential form is:

35433 = 3² × 31¹ × 127¹

Step-2: Prime Factorization of 35439

Prime factors of 35439 are 3, 11813. Prime factorization of 35439 in exponential form is:

35439 = 3¹ × 11813¹

Step-3: Factors of 35433

List of positive integer factors of 35433 that divides 35433 without a remainder.

1, 3, 9, 31, 93, 127, 279, 381, 1143, 3937, 11811

Step-4: Factors of 35439

List of positive integer factors of 35439 that divides 35433 without a remainder.

1, 3, 11813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35433 and 35439. The biggest common factor number is the GCF number.
So the greatest common factor 35433 and 35439 is 3.

Also check out the Least Common Multiple of 35433 and 35439