What is the Greatest Common Factor of 55419 and 55428?

Greatest common factor (GCF) of 55419 and 55428 is 3.

GCF(55419,55428) = 3

We will now calculate the prime factors of 55419 and 55428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55419 and 55428.

How to find the GCF of 55419 and 55428?

We will first find the prime factorization of 55419 and 55428. After we will calculate the factors of 55419 and 55428 and find the biggest common factor number .

Step-1: Prime Factorization of 55419

Prime factors of 55419 are 3, 7, 13, 29. Prime factorization of 55419 in exponential form is:

55419 = 3¹ × 7² × 13¹ × 29¹

Step-2: Prime Factorization of 55428

Prime factors of 55428 are 2, 3, 31, 149. Prime factorization of 55428 in exponential form is:

55428 = 2² × 3¹ × 31¹ × 149¹

Step-3: Factors of 55419

List of positive integer factors of 55419 that divides 55419 without a remainder.

1, 3, 7, 13, 21, 29, 39, 49, 87, 91, 147, 203, 273, 377, 609, 637, 1131, 1421, 1911, 2639, 4263, 7917, 18473

Step-4: Factors of 55428

List of positive integer factors of 55428 that divides 55419 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 149, 186, 298, 372, 447, 596, 894, 1788, 4619, 9238, 13857, 18476, 27714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55419 and 55428. The biggest common factor number is the GCF number.
So the greatest common factor 55419 and 55428 is 3.

Also check out the Least Common Multiple of 55419 and 55428