What is the Greatest Common Factor of 55390 and 55405?

Greatest common factor (GCF) of 55390 and 55405 is 5.

GCF(55390,55405) = 5

We will now calculate the prime factors of 55390 and 55405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55390 and 55405.

How to find the GCF of 55390 and 55405?

We will first find the prime factorization of 55390 and 55405. After we will calculate the factors of 55390 and 55405 and find the biggest common factor number .

Step-1: Prime Factorization of 55390

Prime factors of 55390 are 2, 5, 29, 191. Prime factorization of 55390 in exponential form is:

55390 = 2¹ × 5¹ × 29¹ × 191¹

Step-2: 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-3: Factors of 55390

List of positive integer factors of 55390 that divides 55390 without a remainder.

1, 2, 5, 10, 29, 58, 145, 191, 290, 382, 955, 1910, 5539, 11078, 27695

Step-4: Factors of 55405

List of positive integer factors of 55405 that divides 55390 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55390 and 55405. The biggest common factor number is the GCF number.
So the greatest common factor 55390 and 55405 is 5.

Also check out the Least Common Multiple of 55390 and 55405