What is the Greatest Common Factor of 55419 and 55434?

Greatest common factor (GCF) of 55419 and 55434 is 3.

GCF(55419,55434) = 3

We will now calculate the prime factors of 55419 and 55434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55419 and 55434.

How to find the GCF of 55419 and 55434?

We will first find the prime factorization of 55419 and 55434. After we will calculate the factors of 55419 and 55434 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 55434

Prime factors of 55434 are 2, 3, 9239. Prime factorization of 55434 in exponential form is:

55434 = 2¹ × 3¹ × 9239¹

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 55434

List of positive integer factors of 55434 that divides 55419 without a remainder.

1, 2, 3, 6, 9239, 18478, 27717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55419 and 55434. The biggest common factor number is the GCF number.
So the greatest common factor 55419 and 55434 is 3.

Also check out the Least Common Multiple of 55419 and 55434