What is the Greatest Common Factor of 55405 and 55419?

Greatest common factor (GCF) of 55405 and 55419 is 7.

GCF(55405,55419) = 7

We will now calculate the prime factors of 55405 and 55419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55405 and 55419.

How to find the GCF of 55405 and 55419?

We will first find the prime factorization of 55405 and 55419. After we will calculate the factors of 55405 and 55419 and find the biggest common factor number .

Step-1: Prime Factorization of 55405

Prime factors of 55405 are 5, 7, 1583. Prime factorization of 55405 in exponential form is:

55405 = 5¹ × 7¹ × 1583¹

Step-2: 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-3: Factors of 55405

List of positive integer factors of 55405 that divides 55405 without a remainder.

1, 5, 7, 35, 1583, 7915, 11081

Step-4: Factors of 55419

List of positive integer factors of 55419 that divides 55405 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55405 and 55419. The biggest common factor number is the GCF number.
So the greatest common factor 55405 and 55419 is 7.

Also check out the Least Common Multiple of 55405 and 55419