What is the Greatest Common Factor of 55431 and 55446?

Greatest common factor (GCF) of 55431 and 55446 is 3.

GCF(55431,55446) = 3

We will now calculate the prime factors of 55431 and 55446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55431 and 55446.

How to find the GCF of 55431 and 55446?

We will first find the prime factorization of 55431 and 55446. After we will calculate the factors of 55431 and 55446 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 55446

Prime factors of 55446 are 2, 3, 9241. Prime factorization of 55446 in exponential form is:

55446 = 2¹ × 3¹ × 9241¹

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 55446

List of positive integer factors of 55446 that divides 55431 without a remainder.

1, 2, 3, 6, 9241, 18482, 27723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55431 and 55446. The biggest common factor number is the GCF number.
So the greatest common factor 55431 and 55446 is 3.

Also check out the Least Common Multiple of 55431 and 55446