What is the Greatest Common Factor of 53225 and 53235?

Greatest common factor (GCF) of 53225 and 53235 is 5.

GCF(53225,53235) = 5

We will now calculate the prime factors of 53225 and 53235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53225 and 53235.

How to find the GCF of 53225 and 53235?

We will first find the prime factorization of 53225 and 53235. After we will calculate the factors of 53225 and 53235 and find the biggest common factor number .

Step-1: Prime Factorization of 53225

Prime factors of 53225 are 5, 2129. Prime factorization of 53225 in exponential form is:

53225 = 5² × 2129¹

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 53225

List of positive integer factors of 53225 that divides 53225 without a remainder.

1, 5, 25, 2129, 10645

Step-4: Factors of 53235

List of positive integer factors of 53235 that divides 53225 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 53225 and 53235. The biggest common factor number is the GCF number.
So the greatest common factor 53225 and 53235 is 5.

Also check out the Least Common Multiple of 53225 and 53235