What is the Greatest Common Factor of 53235 and 53248?

Greatest common factor (GCF) of 53235 and 53248 is 13.

GCF(53235,53248) = 13

We will now calculate the prime factors of 53235 and 53248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53235 and 53248.

How to find the GCF of 53235 and 53248?

We will first find the prime factorization of 53235 and 53248. After we will calculate the factors of 53235 and 53248 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53248

Prime factors of 53248 are 2, 13. Prime factorization of 53248 in exponential form is:

53248 = 2¹² × 13¹

Step-3: Factors of 53235

List of positive integer factors of 53235 that divides 53235 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

Step-4: Factors of 53248

List of positive integer factors of 53248 that divides 53235 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1024, 1664, 2048, 3328, 4096, 6656, 13312, 26624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53235 and 53248. The biggest common factor number is the GCF number.
So the greatest common factor 53235 and 53248 is 13.

Also check out the Least Common Multiple of 53235 and 53248