What is the Greatest Common Factor of 53225 and 53245?

Greatest common factor (GCF) of 53225 and 53245 is 5.

GCF(53225,53245) = 5

We will now calculate the prime factors of 53225 and 53245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53225 and 53245.

How to find the GCF of 53225 and 53245?

We will first find the prime factorization of 53225 and 53245. After we will calculate the factors of 53225 and 53245 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 53245

Prime factors of 53245 are 5, 23, 463. Prime factorization of 53245 in exponential form is:

53245 = 5¹ × 23¹ × 463¹

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 53245

List of positive integer factors of 53245 that divides 53225 without a remainder.

1, 5, 23, 115, 463, 2315, 10649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53225 and 53245. The biggest common factor number is the GCF number.
So the greatest common factor 53225 and 53245 is 5.

Also check out the Least Common Multiple of 53225 and 53245