What is the Greatest Common Factor of 53295 and 53310?

Greatest common factor (GCF) of 53295 and 53310 is 15.

GCF(53295,53310) = 15

We will now calculate the prime factors of 53295 and 53310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53295 and 53310.

How to find the GCF of 53295 and 53310?

We will first find the prime factorization of 53295 and 53310. After we will calculate the factors of 53295 and 53310 and find the biggest common factor number .

Step-1: Prime Factorization of 53295

Prime factors of 53295 are 3, 5, 11, 17, 19. Prime factorization of 53295 in exponential form is:

53295 = 3¹ × 5¹ × 11¹ × 17¹ × 19¹

Step-2: Prime Factorization of 53310

Prime factors of 53310 are 2, 3, 5, 1777. Prime factorization of 53310 in exponential form is:

53310 = 2¹ × 3¹ × 5¹ × 1777¹

Step-3: Factors of 53295

List of positive integer factors of 53295 that divides 53295 without a remainder.

1, 3, 5, 11, 15, 17, 19, 33, 51, 55, 57, 85, 95, 165, 187, 209, 255, 285, 323, 561, 627, 935, 969, 1045, 1615, 2805, 3135, 3553, 4845, 10659, 17765

Step-4: Factors of 53310

List of positive integer factors of 53310 that divides 53295 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1777, 3554, 5331, 8885, 10662, 17770, 26655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53295 and 53310. The biggest common factor number is the GCF number.
So the greatest common factor 53295 and 53310 is 15.

Also check out the Least Common Multiple of 53295 and 53310