What is the Greatest Common Factor of 55431 and 55449?

Greatest common factor (GCF) of 55431 and 55449 is 9.

GCF(55431,55449) = 9

We will now calculate the prime factors of 55431 and 55449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55431 and 55449.

How to find the GCF of 55431 and 55449?

We will first find the prime factorization of 55431 and 55449. After we will calculate the factors of 55431 and 55449 and find the biggest common factor number .

Step-1: Prime Factorization of 55431

Prime factors of 55431 are 3, 2053. Prime factorization of 55431 in exponential form is:

55431 = 3³ × 2053¹

Step-2: Prime Factorization of 55449

Prime factors of 55449 are 3, 61, 101. Prime factorization of 55449 in exponential form is:

55449 = 3² × 61¹ × 101¹

Step-3: Factors of 55431

List of positive integer factors of 55431 that divides 55431 without a remainder.

1, 3, 9, 27, 2053, 6159, 18477

Step-4: Factors of 55449

List of positive integer factors of 55449 that divides 55431 without a remainder.

1, 3, 9, 61, 101, 183, 303, 549, 909, 6161, 18483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55431 and 55449. The biggest common factor number is the GCF number.
So the greatest common factor 55431 and 55449 is 9.

Also check out the Least Common Multiple of 55431 and 55449