What is the Greatest Common Factor of 53217 and 53235?

Greatest common factor (GCF) of 53217 and 53235 is 9.

GCF(53217,53235) = 9

We will now calculate the prime factors of 53217 and 53235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53217 and 53235.

How to find the GCF of 53217 and 53235?

We will first find the prime factorization of 53217 and 53235. After we will calculate the factors of 53217 and 53235 and find the biggest common factor number .

Step-1: Prime Factorization of 53217

Prime factors of 53217 are 3, 73. Prime factorization of 53217 in exponential form is:

53217 = 3⁶ × 73¹

Step-2: Prime Factorization of 53235

Prime factors of 53235 are 3, 5, 7, 13. Prime factorization of 53235 in exponential form is:

53235 = 3² × 5¹ × 7¹ × 13²

Step-3: Factors of 53217

List of positive integer factors of 53217 that divides 53217 without a remainder.

1, 3, 9, 27, 73, 81, 219, 243, 657, 729, 1971, 5913, 17739

Step-4: Factors of 53235

List of positive integer factors of 53235 that divides 53217 without a remainder.

1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 169, 195, 273, 315, 455, 507, 585, 819, 845, 1183, 1365, 1521, 2535, 3549, 4095, 5915, 7605, 10647, 17745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53217 and 53235. The biggest common factor number is the GCF number.
So the greatest common factor 53217 and 53235 is 9.

Also check out the Least Common Multiple of 53217 and 53235