What is the Greatest Common Factor of 51225 and 51235?

Greatest common factor (GCF) of 51225 and 51235 is 5.

GCF(51225,51235) = 5

We will now calculate the prime factors of 51225 and 51235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51225 and 51235.

How to find the GCF of 51225 and 51235?

We will first find the prime factorization of 51225 and 51235. After we will calculate the factors of 51225 and 51235 and find the biggest common factor number .

Step-1: Prime Factorization of 51225

Prime factors of 51225 are 3, 5, 683. Prime factorization of 51225 in exponential form is:

51225 = 3¹ × 5² × 683¹

Step-2: Prime Factorization of 51235

Prime factors of 51235 are 5, 10247. Prime factorization of 51235 in exponential form is:

51235 = 5¹ × 10247¹

Step-3: Factors of 51225

List of positive integer factors of 51225 that divides 51225 without a remainder.

1, 3, 5, 15, 25, 75, 683, 2049, 3415, 10245, 17075

Step-4: Factors of 51235

List of positive integer factors of 51235 that divides 51225 without a remainder.

1, 5, 10247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51225 and 51235. The biggest common factor number is the GCF number.
So the greatest common factor 51225 and 51235 is 5.

Also check out the Least Common Multiple of 51225 and 51235