What is the Greatest Common Factor of 55395 and 55410?

Greatest common factor (GCF) of 55395 and 55410 is 15.

GCF(55395,55410) = 15

We will now calculate the prime factors of 55395 and 55410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55395 and 55410.

How to find the GCF of 55395 and 55410?

We will first find the prime factorization of 55395 and 55410. After we will calculate the factors of 55395 and 55410 and find the biggest common factor number .

Step-1: Prime Factorization of 55395

Prime factors of 55395 are 3, 5, 1231. Prime factorization of 55395 in exponential form is:

55395 = 3² × 5¹ × 1231¹

Step-2: Prime Factorization of 55410

Prime factors of 55410 are 2, 3, 5, 1847. Prime factorization of 55410 in exponential form is:

55410 = 2¹ × 3¹ × 5¹ × 1847¹

Step-3: Factors of 55395

List of positive integer factors of 55395 that divides 55395 without a remainder.

1, 3, 5, 9, 15, 45, 1231, 3693, 6155, 11079, 18465

Step-4: Factors of 55410

List of positive integer factors of 55410 that divides 55395 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1847, 3694, 5541, 9235, 11082, 18470, 27705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55395 and 55410. The biggest common factor number is the GCF number.
So the greatest common factor 55395 and 55410 is 15.

Also check out the Least Common Multiple of 55395 and 55410