What is the Greatest Common Factor of 53284 and 53295?

Greatest common factor (GCF) of 53284 and 53295 is 11.

GCF(53284,53295) = 11

We will now calculate the prime factors of 53284 and 53295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53284 and 53295.

How to find the GCF of 53284 and 53295?

We will first find the prime factorization of 53284 and 53295. After we will calculate the factors of 53284 and 53295 and find the biggest common factor number .

Step-1: Prime Factorization of 53284

Prime factors of 53284 are 2, 7, 11, 173. Prime factorization of 53284 in exponential form is:

53284 = 2² × 7¹ × 11¹ × 173¹

Step-2: 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-3: Factors of 53284

List of positive integer factors of 53284 that divides 53284 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 173, 308, 346, 692, 1211, 1903, 2422, 3806, 4844, 7612, 13321, 26642

Step-4: Factors of 53295

List of positive integer factors of 53295 that divides 53284 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53284 and 53295. The biggest common factor number is the GCF number.
So the greatest common factor 53284 and 53295 is 11.

Also check out the Least Common Multiple of 53284 and 53295